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Finding the Third Proportional to 386.02 and 614.46

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Solution

The third proportional to 386.02 and 614.46 is: 978.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.02 : 614.46 = 614.46 : x
  2. Step 2: Convert to fraction form
    386.02/614.46 = 614.46/x
  3. Step 3: Cross multiply
    386.02x = 614.46 × 614.46
  4. Step 4: Simplify right side
    386.02x = 377,562.24
  5. Step 5: Solve for x
    x = 377,562.24/386.02
  6. Step 6: Final answer
    x = 978.10

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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.