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Finding the Third Proportional to 91,304 and 128,202

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Solution

The third proportional to 91,304 and 128,202 is: 180,011.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,304 : 128,202 = 128,202 : x
  2. Step 2: Convert to fraction form
    91,304/128,202 = 128,202/x
  3. Step 3: Cross multiply
    91,304x = 128,202 × 128,202
  4. Step 4: Simplify right side
    91,304x = 16,435,752,804
  5. Step 5: Solve for x
    x = 16,435,752,804/91,304
  6. Step 6: Final answer
    x = 180,011.31

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.