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Finding the Third Proportional to 128,461 and 182,597

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Solution

The third proportional to 128,461 and 182,597 is: 259,546.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,461 : 182,597 = 182,597 : x
  2. Step 2: Convert to fraction form
    128,461/182,597 = 182,597/x
  3. Step 3: Cross multiply
    128,461x = 182,597 × 182,597
  4. Step 4: Simplify right side
    128,461x = 33,341,664,409
  5. Step 5: Solve for x
    x = 33,341,664,409/128,461
  6. Step 6: Final answer
    x = 259,546.98

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.