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Finding the Third Proportional to 432,317.25 and 690,636.38

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Solution

The third proportional to 432,317.25 and 690,636.38 is: 1,103,306.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,317.25 : 690,636.38 = 690,636.38 : x
  2. Step 2: Convert to fraction form
    432,317.25/690,636.38 = 690,636.38/x
  3. Step 3: Cross multiply
    432,317.25x = 690,636.38 × 690,636.38
  4. Step 4: Simplify right side
    432,317.25x = 476,978,602,473.14
  5. Step 5: Solve for x
    x = 476,978,602,473.14/432,317.25
  6. Step 6: Final answer
    x = 1,103,306.89

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.