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Finding the Third Proportional to 253,720 and 557,660

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Solution

The third proportional to 253,720 and 557,660 is: 1,225,700.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,720 : 557,660 = 557,660 : x
  2. Step 2: Convert to fraction form
    253,720/557,660 = 557,660/x
  3. Step 3: Cross multiply
    253,720x = 557,660 × 557,660
  4. Step 4: Simplify right side
    253,720x = 310,984,675,600
  5. Step 5: Solve for x
    x = 310,984,675,600/253,720
  6. Step 6: Final answer
    x = 1,225,700.28

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.