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Finding the Third Proportional to 81,366,585.75 and 122,806,543.50

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Solution

The third proportional to 81,366,585.75 and 122,806,543.50 is: 185,351,849.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,366,585.75 : 122,806,543.50 = 122,806,543.50 : x
  2. Step 2: Convert to fraction form
    81,366,585.75/122,806,543.50 = 122,806,543.50/x
  3. Step 3: Cross multiply
    81,366,585.75x = 122,806,543.50 × 122,806,543.50
  4. Step 4: Simplify right side
    81,366,585.75x = 15,081,447,126,417,392
  5. Step 5: Solve for x
    x = 15,081,447,126,417,392/81,366,585.75
  6. Step 6: Final answer
    x = 185,351,849.13

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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.