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Finding the Third Proportional to 187,408 and 401,600

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Solution

The third proportional to 187,408 and 401,600 is: 860,595.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,408 : 401,600 = 401,600 : x
  2. Step 2: Convert to fraction form
    187,408/401,600 = 401,600/x
  3. Step 3: Cross multiply
    187,408x = 401,600 × 401,600
  4. Step 4: Simplify right side
    187,408x = 161,282,560,000
  5. Step 5: Solve for x
    x = 161,282,560,000/187,408
  6. Step 6: Final answer
    x = 860,595.92

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.