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Finding the Third Proportional to 147,658 and 221,440

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Solution

The third proportional to 147,658 and 221,440 is: 332,089.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,658 : 221,440 = 221,440 : x
  2. Step 2: Convert to fraction form
    147,658/221,440 = 221,440/x
  3. Step 3: Cross multiply
    147,658x = 221,440 × 221,440
  4. Step 4: Simplify right side
    147,658x = 49,035,673,600
  5. Step 5: Solve for x
    x = 49,035,673,600/147,658
  6. Step 6: Final answer
    x = 332,089.51

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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.