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Finding the Third Proportional to 129,423 and 189,832.50

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Solution

The third proportional to 129,423 and 189,832.50 is: 278,438.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,423 : 189,832.50 = 189,832.50 : x
  2. Step 2: Convert to fraction form
    129,423/189,832.50 = 189,832.50/x
  3. Step 3: Cross multiply
    129,423x = 189,832.50 × 189,832.50
  4. Step 4: Simplify right side
    129,423x = 36,036,378,056.25
  5. Step 5: Solve for x
    x = 36,036,378,056.25/129,423
  6. Step 6: Final answer
    x = 278,438.75

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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.