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Finding the Third Proportional to 72,730,470 and 161,603,454

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Solution

The third proportional to 72,730,470 and 161,603,454 is: 359,074,763.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,730,470 : 161,603,454 = 161,603,454 : x
  2. Step 2: Convert to fraction form
    72,730,470/161,603,454 = 161,603,454/x
  3. Step 3: Cross multiply
    72,730,470x = 161,603,454 × 161,603,454
  4. Step 4: Simplify right side
    72,730,470x = 26,115,676,344,730,116
  5. Step 5: Solve for x
    x = 26,115,676,344,730,116/72,730,470
  6. Step 6: Final answer
    x = 359,074,763.92

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.