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Finding the Third Proportional to 407,202.40 and 614,976.47

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Solution

The third proportional to 407,202.40 and 614,976.47 is: 928,766.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,202.40 : 614,976.47 = 614,976.47 : x
  2. Step 2: Convert to fraction form
    407,202.40/614,976.47 = 614,976.47/x
  3. Step 3: Cross multiply
    407,202.40x = 614,976.47 × 614,976.47
  4. Step 4: Simplify right side
    407,202.40x = 378,196,057,116.22
  5. Step 5: Solve for x
    x = 378,196,057,116.22/407,202.40
  6. Step 6: Final answer
    x = 928,766.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.