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Finding the Third Proportional to 357,039 and 489,582

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Solution

The third proportional to 357,039 and 489,582 is: 671,328.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,039 : 489,582 = 489,582 : x
  2. Step 2: Convert to fraction form
    357,039/489,582 = 489,582/x
  3. Step 3: Cross multiply
    357,039x = 489,582 × 489,582
  4. Step 4: Simplify right side
    357,039x = 239,690,534,724
  5. Step 5: Solve for x
    x = 239,690,534,724/357,039
  6. Step 6: Final answer
    x = 671,328.72

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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.