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Finding the Third Proportional to 84,870 and 127,335

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Solution

The third proportional to 84,870 and 127,335 is: 191,047.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,870 : 127,335 = 127,335 : x
  2. Step 2: Convert to fraction form
    84,870/127,335 = 127,335/x
  3. Step 3: Cross multiply
    84,870x = 127,335 × 127,335
  4. Step 4: Simplify right side
    84,870x = 16,214,202,225
  5. Step 5: Solve for x
    x = 16,214,202,225/84,870
  6. Step 6: Final answer
    x = 191,047.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.