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Finding the Third Proportional to 417,739.78 and 627,532.31

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Solution

The third proportional to 417,739.78 and 627,532.31 is: 942,684.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,739.78 : 627,532.31 = 627,532.31 : x
  2. Step 2: Convert to fraction form
    417,739.78/627,532.31 = 627,532.31/x
  3. Step 3: Cross multiply
    417,739.78x = 627,532.31 × 627,532.31
  4. Step 4: Simplify right side
    417,739.78x = 393,796,803,231.60
  5. Step 5: Solve for x
    x = 393,796,803,231.60/417,739.78
  6. Step 6: Final answer
    x = 942,684.47

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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.