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Finding the Third Proportional to 406,432.69 and 632,908.69

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Solution

The third proportional to 406,432.69 and 632,908.69 is: 985,583.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,432.69 : 632,908.69 = 632,908.69 : x
  2. Step 2: Convert to fraction form
    406,432.69/632,908.69 = 632,908.69/x
  3. Step 3: Cross multiply
    406,432.69x = 632,908.69 × 632,908.69
  4. Step 4: Simplify right side
    406,432.69x = 400,573,406,712.97
  5. Step 5: Solve for x
    x = 400,573,406,712.97/406,432.69
  6. Step 6: Final answer
    x = 985,583.64

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.