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Finding the Third Proportional to 319,540 and 489,006

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Solution

The third proportional to 319,540 and 489,006 is: 748,347.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,540 : 489,006 = 489,006 : x
  2. Step 2: Convert to fraction form
    319,540/489,006 = 489,006/x
  3. Step 3: Cross multiply
    319,540x = 489,006 × 489,006
  4. Step 4: Simplify right side
    319,540x = 239,126,868,036
  5. Step 5: Solve for x
    x = 239,126,868,036/319,540
  6. Step 6: Final answer
    x = 748,347.21

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.