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Finding the Third Proportional to 85,875 and 115,690

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Solution

The third proportional to 85,875 and 115,690 is: 155,856.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,875 : 115,690 = 115,690 : x
  2. Step 2: Convert to fraction form
    85,875/115,690 = 115,690/x
  3. Step 3: Cross multiply
    85,875x = 115,690 × 115,690
  4. Step 4: Simplify right side
    85,875x = 13,384,176,100
  5. Step 5: Solve for x
    x = 13,384,176,100/85,875
  6. Step 6: Final answer
    x = 155,856.49

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.