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Finding the Third Proportional to 356,918 and 489,414

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Solution

The third proportional to 356,918 and 489,414 is: 671,095.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,918 : 489,414 = 489,414 : x
  2. Step 2: Convert to fraction form
    356,918/489,414 = 489,414/x
  3. Step 3: Cross multiply
    356,918x = 489,414 × 489,414
  4. Step 4: Simplify right side
    356,918x = 239,526,063,396
  5. Step 5: Solve for x
    x = 239,526,063,396/356,918
  6. Step 6: Final answer
    x = 671,095.50

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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.