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Finding the Third Proportional to 147,342 and 321,670.50

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Solution

The third proportional to 147,342 and 321,670.50 is: 702,256.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,342 : 321,670.50 = 321,670.50 : x
  2. Step 2: Convert to fraction form
    147,342/321,670.50 = 321,670.50/x
  3. Step 3: Cross multiply
    147,342x = 321,670.50 × 321,670.50
  4. Step 4: Simplify right side
    147,342x = 103,471,910,570.25
  5. Step 5: Solve for x
    x = 103,471,910,570.25/147,342
  6. Step 6: Final answer
    x = 702,256.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.