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Finding the Third Proportional to 331,447.50 and 721,957.50

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Solution

The third proportional to 331,447.50 and 721,957.50 is: 1,572,564.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,447.50 : 721,957.50 = 721,957.50 : x
  2. Step 2: Convert to fraction form
    331,447.50/721,957.50 = 721,957.50/x
  3. Step 3: Cross multiply
    331,447.50x = 721,957.50 × 721,957.50
  4. Step 4: Simplify right side
    331,447.50x = 521,222,631,806.25
  5. Step 5: Solve for x
    x = 521,222,631,806.25/331,447.50
  6. Step 6: Final answer
    x = 1,572,564.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.