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Finding the Third Proportional to 320,851.13 and 419,721.75

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Solution

The third proportional to 320,851.13 and 419,721.75 is: 549,059.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,851.13 : 419,721.75 = 419,721.75 : x
  2. Step 2: Convert to fraction form
    320,851.13/419,721.75 = 419,721.75/x
  3. Step 3: Cross multiply
    320,851.13x = 419,721.75 × 419,721.75
  4. Step 4: Simplify right side
    320,851.13x = 176,166,347,423.06
  5. Step 5: Solve for x
    x = 176,166,347,423.06/320,851.13
  6. Step 6: Final answer
    x = 549,059.47

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.