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Finding the Third Proportional to 442.13 and 688.31

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Solution

The third proportional to 442.13 and 688.31 is: 1,071.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.13 : 688.31 = 688.31 : x
  2. Step 2: Convert to fraction form
    442.13/688.31 = 688.31/x
  3. Step 3: Cross multiply
    442.13x = 688.31 × 688.31
  4. Step 4: Simplify right side
    442.13x = 473,774.10
  5. Step 5: Solve for x
    x = 473,774.10/442.13
  6. Step 6: Final answer
    x = 1,071.58

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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.