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Finding the Third Proportional to 153,258 and 204,543

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Solution

The third proportional to 153,258 and 204,543 is: 272,989.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,258 : 204,543 = 204,543 : x
  2. Step 2: Convert to fraction form
    153,258/204,543 = 204,543/x
  3. Step 3: Cross multiply
    153,258x = 204,543 × 204,543
  4. Step 4: Simplify right side
    153,258x = 41,837,838,849
  5. Step 5: Solve for x
    x = 41,837,838,849/153,258
  6. Step 6: Final answer
    x = 272,989.59

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.