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Finding the Third Proportional to 319,174 and 485,394

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Solution

The third proportional to 319,174 and 485,394 is: 738,178.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,174 : 485,394 = 485,394 : x
  2. Step 2: Convert to fraction form
    319,174/485,394 = 485,394/x
  3. Step 3: Cross multiply
    319,174x = 485,394 × 485,394
  4. Step 4: Simplify right side
    319,174x = 235,607,335,236
  5. Step 5: Solve for x
    x = 235,607,335,236/319,174
  6. Step 6: Final answer
    x = 738,178.35

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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.