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Finding the Third Proportional to 557.30 and 1,177.45

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Solution

The third proportional to 557.30 and 1,177.45 is: 2,487.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.30 : 1,177.45 = 1,177.45 : x
  2. Step 2: Convert to fraction form
    557.30/1,177.45 = 1,177.45/x
  3. Step 3: Cross multiply
    557.30x = 1,177.45 × 1,177.45
  4. Step 4: Simplify right side
    557.30x = 1,386,395.86
  5. Step 5: Solve for x
    x = 1,386,395.86/557.30
  6. Step 6: Final answer
    x = 2,487.72

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.