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Finding the Third Proportional to 475.13 and 710.80

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Solution

The third proportional to 475.13 and 710.80 is: 1,063.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.13 : 710.80 = 710.80 : x
  2. Step 2: Convert to fraction form
    475.13/710.80 = 710.80/x
  3. Step 3: Cross multiply
    475.13x = 710.80 × 710.80
  4. Step 4: Simplify right side
    475.13x = 505,232.20
  5. Step 5: Solve for x
    x = 505,232.20/475.13
  6. Step 6: Final answer
    x = 1,063.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.