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Finding the Third Proportional to 319,646 and 485,301

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Solution

The third proportional to 319,646 and 485,301 is: 736,805.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,646 : 485,301 = 485,301 : x
  2. Step 2: Convert to fraction form
    319,646/485,301 = 485,301/x
  3. Step 3: Cross multiply
    319,646x = 485,301 × 485,301
  4. Step 4: Simplify right side
    319,646x = 235,517,060,601
  5. Step 5: Solve for x
    x = 235,517,060,601/319,646
  6. Step 6: Final answer
    x = 736,805.91

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.