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Finding the Third Proportional to 585.13 and 787.69

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Solution

The third proportional to 585.13 and 787.69 is: 1,060.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.13 : 787.69 = 787.69 : x
  2. Step 2: Convert to fraction form
    585.13/787.69 = 787.69/x
  3. Step 3: Cross multiply
    585.13x = 787.69 × 787.69
  4. Step 4: Simplify right side
    585.13x = 620,451.60
  5. Step 5: Solve for x
    x = 620,451.60/585.13
  6. Step 6: Final answer
    x = 1,060.37

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.