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Finding the Third Proportional to 34,134 and 78,315

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Solution

The third proportional to 34,134 and 78,315 is: 179,681.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,134 : 78,315 = 78,315 : x
  2. Step 2: Convert to fraction form
    34,134/78,315 = 78,315/x
  3. Step 3: Cross multiply
    34,134x = 78,315 × 78,315
  4. Step 4: Simplify right side
    34,134x = 6,133,239,225
  5. Step 5: Solve for x
    x = 6,133,239,225/34,134
  6. Step 6: Final answer
    x = 179,681.23

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Why These Related Problems?

These problems maintain the same ratio (2.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.