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Finding the Third Proportional to 730.78 and 1,057.78

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Solution

The third proportional to 730.78 and 1,057.78 is: 1,531.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.78 : 1,057.78 = 1,057.78 : x
  2. Step 2: Convert to fraction form
    730.78/1,057.78 = 1,057.78/x
  3. Step 3: Cross multiply
    730.78x = 1,057.78 × 1,057.78
  4. Step 4: Simplify right side
    730.78x = 1,118,901.17
  5. Step 5: Solve for x
    x = 1,118,901.17/730.78
  6. Step 6: Final answer
    x = 1,531.10

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.