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Finding the Third Proportional to 432,352.69 and 687,020.48

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Solution

The third proportional to 432,352.69 and 687,020.48 is: 1,091,694.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,352.69 : 687,020.48 = 687,020.48 : x
  2. Step 2: Convert to fraction form
    432,352.69/687,020.48 = 687,020.48/x
  3. Step 3: Cross multiply
    432,352.69x = 687,020.48 × 687,020.48
  4. Step 4: Simplify right side
    432,352.69x = 471,997,145,950.86
  5. Step 5: Solve for x
    x = 471,997,145,950.86/432,352.69
  6. Step 6: Final answer
    x = 1,091,694.72

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.