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Finding the Third Proportional to 78,471,709 and 129,211,861

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Solution

The third proportional to 78,471,709 and 129,211,861 is: 212,760,818.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,471,709 : 129,211,861 = 129,211,861 : x
  2. Step 2: Convert to fraction form
    78,471,709/129,211,861 = 129,211,861/x
  3. Step 3: Cross multiply
    78,471,709x = 129,211,861 × 129,211,861
  4. Step 4: Simplify right side
    78,471,709x = 16,695,705,023,083,320
  5. Step 5: Solve for x
    x = 16,695,705,023,083,320/78,471,709
  6. Step 6: Final answer
    x = 212,760,818.34

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.