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Finding the Third Proportional to 530.72 and 819.70

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Solution

The third proportional to 530.72 and 819.70 is: 1,266.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.72 : 819.70 = 819.70 : x
  2. Step 2: Convert to fraction form
    530.72/819.70 = 819.70/x
  3. Step 3: Cross multiply
    530.72x = 819.70 × 819.70
  4. Step 4: Simplify right side
    530.72x = 671,913.21
  5. Step 5: Solve for x
    x = 671,913.21/530.72
  6. Step 6: Final answer
    x = 1,266.04

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.