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Finding the Third Proportional to 738.56 and 1,148.91

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Solution

The third proportional to 738.56 and 1,148.91 is: 1,787.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.56 : 1,148.91 = 1,148.91 : x
  2. Step 2: Convert to fraction form
    738.56/1,148.91 = 1,148.91/x
  3. Step 3: Cross multiply
    738.56x = 1,148.91 × 1,148.91
  4. Step 4: Simplify right side
    738.56x = 1,319,985.57
  5. Step 5: Solve for x
    x = 1,319,985.57/738.56
  6. Step 6: Final answer
    x = 1,787.24

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.