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Finding the Third Proportional to 84,220 and 126,319

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Solution

The third proportional to 84,220 and 126,319 is: 189,462.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,220 : 126,319 = 126,319 : x
  2. Step 2: Convert to fraction form
    84,220/126,319 = 126,319/x
  3. Step 3: Cross multiply
    84,220x = 126,319 × 126,319
  4. Step 4: Simplify right side
    84,220x = 15,956,489,761
  5. Step 5: Solve for x
    x = 15,956,489,761/84,220
  6. Step 6: Final answer
    x = 189,462.00

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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.