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Finding the Third Proportional to 553,361 and 814,217

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Solution

The third proportional to 553,361 and 814,217 is: 1,198,041.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,361 : 814,217 = 814,217 : x
  2. Step 2: Convert to fraction form
    553,361/814,217 = 814,217/x
  3. Step 3: Cross multiply
    553,361x = 814,217 × 814,217
  4. Step 4: Simplify right side
    553,361x = 662,949,323,089
  5. Step 5: Solve for x
    x = 662,949,323,089/553,361
  6. Step 6: Final answer
    x = 1,198,041.28

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.