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Finding the Third Proportional to 85,315 and 125,786

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Solution

The third proportional to 85,315 and 125,786 is: 185,455.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,315 : 125,786 = 125,786 : x
  2. Step 2: Convert to fraction form
    85,315/125,786 = 125,786/x
  3. Step 3: Cross multiply
    85,315x = 125,786 × 125,786
  4. Step 4: Simplify right side
    85,315x = 15,822,117,796
  5. Step 5: Solve for x
    x = 15,822,117,796/85,315
  6. Step 6: Final answer
    x = 185,455.29

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.