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Finding the Third Proportional to 156,100.50 and 232,422.75

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Solution

The third proportional to 156,100.50 and 232,422.75 is: 346,061.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,100.50 : 232,422.75 = 232,422.75 : x
  2. Step 2: Convert to fraction form
    156,100.50/232,422.75 = 232,422.75/x
  3. Step 3: Cross multiply
    156,100.50x = 232,422.75 × 232,422.75
  4. Step 4: Simplify right side
    156,100.50x = 54,020,334,717.56
  5. Step 5: Solve for x
    x = 54,020,334,717.56/156,100.50
  6. Step 6: Final answer
    x = 346,061.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.