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Finding the Third Proportional to 312,905 and 672,983

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Solution

The third proportional to 312,905 and 672,983 is: 1,447,423.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,905 : 672,983 = 672,983 : x
  2. Step 2: Convert to fraction form
    312,905/672,983 = 672,983/x
  3. Step 3: Cross multiply
    312,905x = 672,983 × 672,983
  4. Step 4: Simplify right side
    312,905x = 452,906,118,289
  5. Step 5: Solve for x
    x = 452,906,118,289/312,905
  6. Step 6: Final answer
    x = 1,447,423.72

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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.