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Finding the Third Proportional to 319,142 and 485,625

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Solution

The third proportional to 319,142 and 485,625 is: 738,955.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,142 : 485,625 = 485,625 : x
  2. Step 2: Convert to fraction form
    319,142/485,625 = 485,625/x
  3. Step 3: Cross multiply
    319,142x = 485,625 × 485,625
  4. Step 4: Simplify right side
    319,142x = 235,831,640,625
  5. Step 5: Solve for x
    x = 235,831,640,625/319,142
  6. Step 6: Final answer
    x = 738,955.20

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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.