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Finding the Third Proportional to 321,552 and 489,816

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Solution

The third proportional to 321,552 and 489,816 is: 746,130.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,552 : 489,816 = 489,816 : x
  2. Step 2: Convert to fraction form
    321,552/489,816 = 489,816/x
  3. Step 3: Cross multiply
    321,552x = 489,816 × 489,816
  4. Step 4: Simplify right side
    321,552x = 239,919,713,856
  5. Step 5: Solve for x
    x = 239,919,713,856/321,552
  6. Step 6: Final answer
    x = 746,130.37

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.