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Finding the Third Proportional to 138,554 and 299,248

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Solution

The third proportional to 138,554 and 299,248 is: 646,313.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,554 : 299,248 = 299,248 : x
  2. Step 2: Convert to fraction form
    138,554/299,248 = 299,248/x
  3. Step 3: Cross multiply
    138,554x = 299,248 × 299,248
  4. Step 4: Simplify right side
    138,554x = 89,549,365,504
  5. Step 5: Solve for x
    x = 89,549,365,504/138,554
  6. Step 6: Final answer
    x = 646,313.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.