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Finding the Third Proportional to 417,437.25 and 634,120.88

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Solution

The third proportional to 417,437.25 and 634,120.88 is: 963,280.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,437.25 : 634,120.88 = 634,120.88 : x
  2. Step 2: Convert to fraction form
    417,437.25/634,120.88 = 634,120.88/x
  3. Step 3: Cross multiply
    417,437.25x = 634,120.88 × 634,120.88
  4. Step 4: Simplify right side
    417,437.25x = 402,109,284,110.77
  5. Step 5: Solve for x
    x = 402,109,284,110.77/417,437.25
  6. Step 6: Final answer
    x = 963,280.79

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.