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Finding the Third Proportional to 453,387.50 and 728,032.25

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Solution

The third proportional to 453,387.50 and 728,032.25 is: 1,169,046.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,387.50 : 728,032.25 = 728,032.25 : x
  2. Step 2: Convert to fraction form
    453,387.50/728,032.25 = 728,032.25/x
  3. Step 3: Cross multiply
    453,387.50x = 728,032.25 × 728,032.25
  4. Step 4: Simplify right side
    453,387.50x = 530,030,957,040.06
  5. Step 5: Solve for x
    x = 530,030,957,040.06/453,387.50
  6. Step 6: Final answer
    x = 1,169,046.25

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.