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Finding the Third Proportional to 510.75 and 781.88

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Solution

The third proportional to 510.75 and 781.88 is: 1,196.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.75 : 781.88 = 781.88 : x
  2. Step 2: Convert to fraction form
    510.75/781.88 = 781.88/x
  3. Step 3: Cross multiply
    510.75x = 781.88 × 781.88
  4. Step 4: Simplify right side
    510.75x = 611,328.52
  5. Step 5: Solve for x
    x = 611,328.52/510.75
  6. Step 6: Final answer
    x = 1,196.92

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.