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Finding the Third Proportional to 84,580 and 131,712

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Solution

The third proportional to 84,580 and 131,712 is: 205,108.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,580 : 131,712 = 131,712 : x
  2. Step 2: Convert to fraction form
    84,580/131,712 = 131,712/x
  3. Step 3: Cross multiply
    84,580x = 131,712 × 131,712
  4. Step 4: Simplify right side
    84,580x = 17,348,050,944
  5. Step 5: Solve for x
    x = 17,348,050,944/84,580
  6. Step 6: Final answer
    x = 205,108.19

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.