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Finding the Third Proportional to 316,554 and 489,497

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Solution

The third proportional to 316,554 and 489,497 is: 756,923.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,554 : 489,497 = 489,497 : x
  2. Step 2: Convert to fraction form
    316,554/489,497 = 489,497/x
  3. Step 3: Cross multiply
    316,554x = 489,497 × 489,497
  4. Step 4: Simplify right side
    316,554x = 239,607,313,009
  5. Step 5: Solve for x
    x = 239,607,313,009/316,554
  6. Step 6: Final answer
    x = 756,923.98

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.