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Finding the Third Proportional to 500.34 and 657.70

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Solution

The third proportional to 500.34 and 657.70 is: 864.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.34 : 657.70 = 657.70 : x
  2. Step 2: Convert to fraction form
    500.34/657.70 = 657.70/x
  3. Step 3: Cross multiply
    500.34x = 657.70 × 657.70
  4. Step 4: Simplify right side
    500.34x = 432,573.40
  5. Step 5: Solve for x
    x = 432,573.40/500.34
  6. Step 6: Final answer
    x = 864.55

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.