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Finding the Third Proportional to 240.47 and 322.10

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Solution

The third proportional to 240.47 and 322.10 is: 431.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.47 : 322.10 = 322.10 : x
  2. Step 2: Convert to fraction form
    240.47/322.10 = 322.10/x
  3. Step 3: Cross multiply
    240.47x = 322.10 × 322.10
  4. Step 4: Simplify right side
    240.47x = 103,749.42
  5. Step 5: Solve for x
    x = 103,749.42/240.47
  6. Step 6: Final answer
    x = 431.45

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.