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Finding the Third Proportional to 251,681 and 553,096

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Solution

The third proportional to 251,681 and 553,096 is: 1,215,487.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,681 : 553,096 = 553,096 : x
  2. Step 2: Convert to fraction form
    251,681/553,096 = 553,096/x
  3. Step 3: Cross multiply
    251,681x = 553,096 × 553,096
  4. Step 4: Simplify right side
    251,681x = 305,915,185,216
  5. Step 5: Solve for x
    x = 305,915,185,216/251,681
  6. Step 6: Final answer
    x = 1,215,487.80

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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.