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Finding the Third Proportional to 253,217.25 and 553,488.75

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Solution

The third proportional to 253,217.25 and 553,488.75 is: 1,209,829.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,217.25 : 553,488.75 = 553,488.75 : x
  2. Step 2: Convert to fraction form
    253,217.25/553,488.75 = 553,488.75/x
  3. Step 3: Cross multiply
    253,217.25x = 553,488.75 × 553,488.75
  4. Step 4: Simplify right side
    253,217.25x = 306,349,796,376.56
  5. Step 5: Solve for x
    x = 306,349,796,376.56/253,217.25
  6. Step 6: Final answer
    x = 1,209,829.88

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.