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Finding the Third Proportional to 557.30 and 1,148.34

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Solution

The third proportional to 557.30 and 1,148.34 is: 2,366.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.30 : 1,148.34 = 1,148.34 : x
  2. Step 2: Convert to fraction form
    557.30/1,148.34 = 1,148.34/x
  3. Step 3: Cross multiply
    557.30x = 1,148.34 × 1,148.34
  4. Step 4: Simplify right side
    557.30x = 1,318,693.37
  5. Step 5: Solve for x
    x = 1,318,693.37/557.30
  6. Step 6: Final answer
    x = 2,366.23

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.