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Finding the Third Proportional to 212,374.13 and 321,649.31

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Solution

The third proportional to 212,374.13 and 321,649.31 is: 487,151.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,374.13 : 321,649.31 = 321,649.31 : x
  2. Step 2: Convert to fraction form
    212,374.13/321,649.31 = 321,649.31/x
  3. Step 3: Cross multiply
    212,374.13x = 321,649.31 × 321,649.31
  4. Step 4: Simplify right side
    212,374.13x = 103,458,280,231.72
  5. Step 5: Solve for x
    x = 103,458,280,231.72/212,374.13
  6. Step 6: Final answer
    x = 487,151.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.