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Finding the Third Proportional to 20,440,786 and 31,418,895

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Solution

The third proportional to 20,440,786 and 31,418,895 is: 48,293,004.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,440,786 : 31,418,895 = 31,418,895 : x
  2. Step 2: Convert to fraction form
    20,440,786/31,418,895 = 31,418,895/x
  3. Step 3: Cross multiply
    20,440,786x = 31,418,895 × 31,418,895
  4. Step 4: Simplify right side
    20,440,786x = 987,146,963,021,025
  5. Step 5: Solve for x
    x = 987,146,963,021,025/20,440,786
  6. Step 6: Final answer
    x = 48,293,004.14

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.