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Finding the Third Proportional to 710.02 and 816.33

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Solution

The third proportional to 710.02 and 816.33 is: 938.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.02 : 816.33 = 816.33 : x
  2. Step 2: Convert to fraction form
    710.02/816.33 = 816.33/x
  3. Step 3: Cross multiply
    710.02x = 816.33 × 816.33
  4. Step 4: Simplify right side
    710.02x = 666,391.61
  5. Step 5: Solve for x
    x = 666,391.61/710.02
  6. Step 6: Final answer
    x = 938.56

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.