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Finding the Third Proportional to 356,934 and 489,453

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Solution

The third proportional to 356,934 and 489,453 is: 671,172.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,934 : 489,453 = 489,453 : x
  2. Step 2: Convert to fraction form
    356,934/489,453 = 489,453/x
  3. Step 3: Cross multiply
    356,934x = 489,453 × 489,453
  4. Step 4: Simplify right side
    356,934x = 239,564,239,209
  5. Step 5: Solve for x
    x = 239,564,239,209/356,934
  6. Step 6: Final answer
    x = 671,172.37

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.