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Finding the Third Proportional to 85,253 and 129,065

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Solution

The third proportional to 85,253 and 129,065 is: 195,392.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,253 : 129,065 = 129,065 : x
  2. Step 2: Convert to fraction form
    85,253/129,065 = 129,065/x
  3. Step 3: Cross multiply
    85,253x = 129,065 × 129,065
  4. Step 4: Simplify right side
    85,253x = 16,657,774,225
  5. Step 5: Solve for x
    x = 16,657,774,225/85,253
  6. Step 6: Final answer
    x = 195,392.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.