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Finding the Third Proportional to 150,564 and 221,688

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Solution

The third proportional to 150,564 and 221,688 is: 326,409.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,564 : 221,688 = 221,688 : x
  2. Step 2: Convert to fraction form
    150,564/221,688 = 221,688/x
  3. Step 3: Cross multiply
    150,564x = 221,688 × 221,688
  4. Step 4: Simplify right side
    150,564x = 49,145,569,344
  5. Step 5: Solve for x
    x = 49,145,569,344/150,564
  6. Step 6: Final answer
    x = 326,409.83

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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.