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Finding the Third Proportional to 270,399 and 424,156

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Solution

The third proportional to 270,399 and 424,156 is: 665,343.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,399 : 424,156 = 424,156 : x
  2. Step 2: Convert to fraction form
    270,399/424,156 = 424,156/x
  3. Step 3: Cross multiply
    270,399x = 424,156 × 424,156
  4. Step 4: Simplify right side
    270,399x = 179,908,312,336
  5. Step 5: Solve for x
    x = 179,908,312,336/270,399
  6. Step 6: Final answer
    x = 665,343.85

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.