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Finding the Third Proportional to 138,486 and 301,276

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Solution

The third proportional to 138,486 and 301,276 is: 655,425.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,486 : 301,276 = 301,276 : x
  2. Step 2: Convert to fraction form
    138,486/301,276 = 301,276/x
  3. Step 3: Cross multiply
    138,486x = 301,276 × 301,276
  4. Step 4: Simplify right side
    138,486x = 90,767,228,176
  5. Step 5: Solve for x
    x = 90,767,228,176/138,486
  6. Step 6: Final answer
    x = 655,425.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.