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Finding the Third Proportional to 138,693 and 298,453

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Solution

The third proportional to 138,693 and 298,453 is: 642,240.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,693 : 298,453 = 298,453 : x
  2. Step 2: Convert to fraction form
    138,693/298,453 = 298,453/x
  3. Step 3: Cross multiply
    138,693x = 298,453 × 298,453
  4. Step 4: Simplify right side
    138,693x = 89,074,193,209
  5. Step 5: Solve for x
    x = 89,074,193,209/138,693
  6. Step 6: Final answer
    x = 642,240.01

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.