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Finding the Third Proportional to 487.90 and 787.32

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Solution

The third proportional to 487.90 and 787.32 is: 1,270.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.90 : 787.32 = 787.32 : x
  2. Step 2: Convert to fraction form
    487.90/787.32 = 787.32/x
  3. Step 3: Cross multiply
    487.90x = 787.32 × 787.32
  4. Step 4: Simplify right side
    487.90x = 619,879.43
  5. Step 5: Solve for x
    x = 619,879.43/487.90
  6. Step 6: Final answer
    x = 1,270.51

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.