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Finding the Third Proportional to 323,580 and 489,898

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Solution

The third proportional to 323,580 and 489,898 is: 741,702.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,580 : 489,898 = 489,898 : x
  2. Step 2: Convert to fraction form
    323,580/489,898 = 489,898/x
  3. Step 3: Cross multiply
    323,580x = 489,898 × 489,898
  4. Step 4: Simplify right side
    323,580x = 240,000,050,404
  5. Step 5: Solve for x
    x = 240,000,050,404/323,580
  6. Step 6: Final answer
    x = 741,702.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.