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Finding the Third Proportional to 147,587 and 221,413

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Solution

The third proportional to 147,587 and 221,413 is: 332,168.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,587 : 221,413 = 221,413 : x
  2. Step 2: Convert to fraction form
    147,587/221,413 = 221,413/x
  3. Step 3: Cross multiply
    147,587x = 221,413 × 221,413
  4. Step 4: Simplify right side
    147,587x = 49,023,716,569
  5. Step 5: Solve for x
    x = 49,023,716,569/147,587
  6. Step 6: Final answer
    x = 332,168.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.