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Finding the Third Proportional to 431,398,826,346 and 937,884,924,364

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Solution

The third proportional to 431,398,826,346 and 937,884,924,364 is: 2,039,013,733,068.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,398,826,346 : 937,884,924,364 = 937,884,924,364 : x
  2. Step 2: Convert to fraction form
    431,398,826,346/937,884,924,364 = 937,884,924,364/x
  3. Step 3: Cross multiply
    431,398,826,346x = 937,884,924,364 × 937,884,924,364
  4. Step 4: Simplify right side
    431,398,826,346x = 879,628,131,349,266,031,443,968
  5. Step 5: Solve for x
    x = 879,628,131,349,266,031,443,968/431,398,826,346
  6. Step 6: Final answer
    x = 2,039,013,733,068.82

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.