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Finding the Third Proportional to 310,760 and 672,352

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Solution

The third proportional to 310,760 and 672,352 is: 1,454,682.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,760 : 672,352 = 672,352 : x
  2. Step 2: Convert to fraction form
    310,760/672,352 = 672,352/x
  3. Step 3: Cross multiply
    310,760x = 672,352 × 672,352
  4. Step 4: Simplify right side
    310,760x = 452,057,211,904
  5. Step 5: Solve for x
    x = 452,057,211,904/310,760
  6. Step 6: Final answer
    x = 1,454,682.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.