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Finding the Third Proportional to 418,350.50 and 861,458.50

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Solution

The third proportional to 418,350.50 and 861,458.50 is: 1,773,897.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,350.50 : 861,458.50 = 861,458.50 : x
  2. Step 2: Convert to fraction form
    418,350.50/861,458.50 = 861,458.50/x
  3. Step 3: Cross multiply
    418,350.50x = 861,458.50 × 861,458.50
  4. Step 4: Simplify right side
    418,350.50x = 742,110,747,222.25
  5. Step 5: Solve for x
    x = 742,110,747,222.25/418,350.50
  6. Step 6: Final answer
    x = 1,773,897.12

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.