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Finding the Third Proportional to 642.32 and 829.74

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Solution

The third proportional to 642.32 and 829.74 is: 1,071.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.32 : 829.74 = 829.74 : x
  2. Step 2: Convert to fraction form
    642.32/829.74 = 829.74/x
  3. Step 3: Cross multiply
    642.32x = 829.74 × 829.74
  4. Step 4: Simplify right side
    642.32x = 688,461.56
  5. Step 5: Solve for x
    x = 688,461.56/642.32
  6. Step 6: Final answer
    x = 1,071.83

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.