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Finding the Third Proportional to 187,409 and 401,602

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Solution

The third proportional to 187,409 and 401,602 is: 860,599.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,409 : 401,602 = 401,602 : x
  2. Step 2: Convert to fraction form
    187,409/401,602 = 401,602/x
  3. Step 3: Cross multiply
    187,409x = 401,602 × 401,602
  4. Step 4: Simplify right side
    187,409x = 161,284,166,404
  5. Step 5: Solve for x
    x = 161,284,166,404/187,409
  6. Step 6: Final answer
    x = 860,599.90

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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.