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Finding the Third Proportional to 77,592,510 and 129,315,642

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Solution

The third proportional to 77,592,510 and 129,315,642 is: 215,517,390.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,592,510 : 129,315,642 = 129,315,642 : x
  2. Step 2: Convert to fraction form
    77,592,510/129,315,642 = 129,315,642/x
  3. Step 3: Cross multiply
    77,592,510x = 129,315,642 × 129,315,642
  4. Step 4: Simplify right side
    77,592,510x = 16,722,535,265,872,164
  5. Step 5: Solve for x
    x = 16,722,535,265,872,164/77,592,510
  6. Step 6: Final answer
    x = 215,517,390.35

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.