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Finding the Third Proportional to 312,484 and 672,434

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Solution

The third proportional to 312,484 and 672,434 is: 1,447,010.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,484 : 672,434 = 672,434 : x
  2. Step 2: Convert to fraction form
    312,484/672,434 = 672,434/x
  3. Step 3: Cross multiply
    312,484x = 672,434 × 672,434
  4. Step 4: Simplify right side
    312,484x = 452,167,484,356
  5. Step 5: Solve for x
    x = 452,167,484,356/312,484
  6. Step 6: Final answer
    x = 1,447,010.04

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.