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Finding the Third Proportional to 118,484 and 252,312

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Solution

The third proportional to 118,484 and 252,312 is: 537,299.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,484 : 252,312 = 252,312 : x
  2. Step 2: Convert to fraction form
    118,484/252,312 = 252,312/x
  3. Step 3: Cross multiply
    118,484x = 252,312 × 252,312
  4. Step 4: Simplify right side
    118,484x = 63,661,345,344
  5. Step 5: Solve for x
    x = 63,661,345,344/118,484
  6. Step 6: Final answer
    x = 537,299.09

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.