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Finding the Third Proportional to 253,711.50 and 557,643

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Solution

The third proportional to 253,711.50 and 557,643 is: 1,225,666.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,711.50 : 557,643 = 557,643 : x
  2. Step 2: Convert to fraction form
    253,711.50/557,643 = 557,643/x
  3. Step 3: Cross multiply
    253,711.50x = 557,643 × 557,643
  4. Step 4: Simplify right side
    253,711.50x = 310,965,715,449
  5. Step 5: Solve for x
    x = 310,965,715,449/253,711.50
  6. Step 6: Final answer
    x = 1,225,666.62

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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.