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Finding the Third Proportional to 315,424 and 672,140

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Solution

The third proportional to 315,424 and 672,140 is: 1,432,269.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,424 : 672,140 = 672,140 : x
  2. Step 2: Convert to fraction form
    315,424/672,140 = 672,140/x
  3. Step 3: Cross multiply
    315,424x = 672,140 × 672,140
  4. Step 4: Simplify right side
    315,424x = 451,772,179,600
  5. Step 5: Solve for x
    x = 451,772,179,600/315,424
  6. Step 6: Final answer
    x = 1,432,269.52

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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.