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Finding the Third Proportional to 138,298 and 301,624

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Solution

The third proportional to 138,298 and 301,624 is: 657,833.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,298 : 301,624 = 301,624 : x
  2. Step 2: Convert to fraction form
    138,298/301,624 = 301,624/x
  3. Step 3: Cross multiply
    138,298x = 301,624 × 301,624
  4. Step 4: Simplify right side
    138,298x = 90,977,037,376
  5. Step 5: Solve for x
    x = 90,977,037,376/138,298
  6. Step 6: Final answer
    x = 657,833.36

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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.