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Finding the Third Proportional to 85,140 and 185,031

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Solution

The third proportional to 85,140 and 185,031 is: 402,119.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,140 : 185,031 = 185,031 : x
  2. Step 2: Convert to fraction form
    85,140/185,031 = 185,031/x
  3. Step 3: Cross multiply
    85,140x = 185,031 × 185,031
  4. Step 4: Simplify right side
    85,140x = 34,236,470,961
  5. Step 5: Solve for x
    x = 34,236,470,961/85,140
  6. Step 6: Final answer
    x = 402,119.70

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.