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Finding the Third Proportional to 487,129.50 and 728,714.25

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Solution

The third proportional to 487,129.50 and 728,714.25 is: 1,090,109.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,129.50 : 728,714.25 = 728,714.25 : x
  2. Step 2: Convert to fraction form
    487,129.50/728,714.25 = 728,714.25/x
  3. Step 3: Cross multiply
    487,129.50x = 728,714.25 × 728,714.25
  4. Step 4: Simplify right side
    487,129.50x = 531,024,458,153.06
  5. Step 5: Solve for x
    x = 531,024,458,153.06/487,129.50
  6. Step 6: Final answer
    x = 1,090,109.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.