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Finding the Third Proportional to 357,072 and 489,624

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Solution

The third proportional to 357,072 and 489,624 is: 671,381.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,072 : 489,624 = 489,624 : x
  2. Step 2: Convert to fraction form
    357,072/489,624 = 489,624/x
  3. Step 3: Cross multiply
    357,072x = 489,624 × 489,624
  4. Step 4: Simplify right side
    357,072x = 239,731,661,376
  5. Step 5: Solve for x
    x = 239,731,661,376/357,072
  6. Step 6: Final answer
    x = 671,381.85

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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.