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Finding the Third Proportional to 407,342.25 and 617,574.38

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Solution

The third proportional to 407,342.25 and 617,574.38 is: 936,308.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,342.25 : 617,574.38 = 617,574.38 : x
  2. Step 2: Convert to fraction form
    407,342.25/617,574.38 = 617,574.38/x
  3. Step 3: Cross multiply
    407,342.25x = 617,574.38 × 617,574.38
  4. Step 4: Simplify right side
    407,342.25x = 381,398,108,656.64
  5. Step 5: Solve for x
    x = 381,398,108,656.64/407,342.25
  6. Step 6: Final answer
    x = 936,308.74

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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.