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Finding the Third Proportional to 138,258 and 282,347

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Solution

The third proportional to 138,258 and 282,347 is: 576,601.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,258 : 282,347 = 282,347 : x
  2. Step 2: Convert to fraction form
    138,258/282,347 = 282,347/x
  3. Step 3: Cross multiply
    138,258x = 282,347 × 282,347
  4. Step 4: Simplify right side
    138,258x = 79,719,828,409
  5. Step 5: Solve for x
    x = 79,719,828,409/138,258
  6. Step 6: Final answer
    x = 576,601.92

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.