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Finding the Third Proportional to 138,221 and 301,453

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Solution

The third proportional to 138,221 and 301,453 is: 657,453.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,221 : 301,453 = 301,453 : x
  2. Step 2: Convert to fraction form
    138,221/301,453 = 301,453/x
  3. Step 3: Cross multiply
    138,221x = 301,453 × 301,453
  4. Step 4: Simplify right side
    138,221x = 90,873,911,209
  5. Step 5: Solve for x
    x = 90,873,911,209/138,221
  6. Step 6: Final answer
    x = 657,453.72

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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.