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Finding the Third Proportional to 501.63 and 747.13

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Solution

The third proportional to 501.63 and 747.13 is: 1,112.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.63 : 747.13 = 747.13 : x
  2. Step 2: Convert to fraction form
    501.63/747.13 = 747.13/x
  3. Step 3: Cross multiply
    501.63x = 747.13 × 747.13
  4. Step 4: Simplify right side
    501.63x = 558,195.77
  5. Step 5: Solve for x
    x = 558,195.77/501.63
  6. Step 6: Final answer
    x = 1,112.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.