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Finding the Third Proportional to 129,056.63 and 199,330.88

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Solution

The third proportional to 129,056.63 and 199,330.88 is: 307,871.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,056.63 : 199,330.88 = 199,330.88 : x
  2. Step 2: Convert to fraction form
    129,056.63/199,330.88 = 199,330.88/x
  3. Step 3: Cross multiply
    129,056.63x = 199,330.88 × 199,330.88
  4. Step 4: Simplify right side
    129,056.63x = 39,732,797,728.27
  5. Step 5: Solve for x
    x = 39,732,797,728.27/129,056.63
  6. Step 6: Final answer
    x = 307,871.04

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.