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Finding the Third Proportional to 129,117 and 189,435

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Solution

The third proportional to 129,117 and 189,435 is: 277,931.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,117 : 189,435 = 189,435 : x
  2. Step 2: Convert to fraction form
    129,117/189,435 = 189,435/x
  3. Step 3: Cross multiply
    129,117x = 189,435 × 189,435
  4. Step 4: Simplify right side
    129,117x = 35,885,619,225
  5. Step 5: Solve for x
    x = 35,885,619,225/129,117
  6. Step 6: Final answer
    x = 277,931.02

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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.