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Finding the Third Proportional to 427,784 and 489,992

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Solution

The third proportional to 427,784 and 489,992 is: 561,246.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,784 : 489,992 = 489,992 : x
  2. Step 2: Convert to fraction form
    427,784/489,992 = 489,992/x
  3. Step 3: Cross multiply
    427,784x = 489,992 × 489,992
  4. Step 4: Simplify right side
    427,784x = 240,092,160,064
  5. Step 5: Solve for x
    x = 240,092,160,064/427,784
  6. Step 6: Final answer
    x = 561,246.24

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.