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Finding the Third Proportional to 531.84 and 780.05

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Solution

The third proportional to 531.84 and 780.05 is: 1,144.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.84 : 780.05 = 780.05 : x
  2. Step 2: Convert to fraction form
    531.84/780.05 = 780.05/x
  3. Step 3: Cross multiply
    531.84x = 780.05 × 780.05
  4. Step 4: Simplify right side
    531.84x = 608,473.13
  5. Step 5: Solve for x
    x = 608,473.13/531.84
  6. Step 6: Final answer
    x = 1,144.08

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