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Finding the Third Proportional to 147,456 and 198,360

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Solution

The third proportional to 147,456 and 198,360 is: 266,836.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,456 : 198,360 = 198,360 : x
  2. Step 2: Convert to fraction form
    147,456/198,360 = 198,360/x
  3. Step 3: Cross multiply
    147,456x = 198,360 × 198,360
  4. Step 4: Simplify right side
    147,456x = 39,346,689,600
  5. Step 5: Solve for x
    x = 39,346,689,600/147,456
  6. Step 6: Final answer
    x = 266,836.82

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.