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Finding the Third Proportional to 72,325,805 and 109,161,312

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Solution

The third proportional to 72,325,805 and 109,161,312 is: 164,757,129.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,325,805 : 109,161,312 = 109,161,312 : x
  2. Step 2: Convert to fraction form
    72,325,805/109,161,312 = 109,161,312/x
  3. Step 3: Cross multiply
    72,325,805x = 109,161,312 × 109,161,312
  4. Step 4: Simplify right side
    72,325,805x = 11,916,192,037,561,344
  5. Step 5: Solve for x
    x = 11,916,192,037,561,344/72,325,805
  6. Step 6: Final answer
    x = 164,757,129.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.