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Finding the Third Proportional to 218,730,505.50 and 516,334,016.25

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Solution

The third proportional to 218,730,505.50 and 516,334,016.25 is: 1,218,855,210.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,730,505.50 : 516,334,016.25 = 516,334,016.25 : x
  2. Step 2: Convert to fraction form
    218,730,505.50/516,334,016.25 = 516,334,016.25/x
  3. Step 3: Cross multiply
    218,730,505.50x = 516,334,016.25 × 516,334,016.25
  4. Step 4: Simplify right side
    218,730,505.50x = 266,600,816,336,855,264
  5. Step 5: Solve for x
    x = 266,600,816,336,855,264/218,730,505.50
  6. Step 6: Final answer
    x = 1,218,855,210.56

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.