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Finding the Third Proportional to 531.00 and 780.88

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Solution

The third proportional to 531.00 and 780.88 is: 1,148.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.00 : 780.88 = 780.88 : x
  2. Step 2: Convert to fraction form
    531.00/780.88 = 780.88/x
  3. Step 3: Cross multiply
    531.00x = 780.88 × 780.88
  4. Step 4: Simplify right side
    531.00x = 609,774.73
  5. Step 5: Solve for x
    x = 609,774.73/531.00
  6. Step 6: Final answer
    x = 1,148.35

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.