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Finding the Third Proportional to 323,333 and 489,473

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Solution

The third proportional to 323,333 and 489,473 is: 740,981.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,333 : 489,473 = 489,473 : x
  2. Step 2: Convert to fraction form
    323,333/489,473 = 489,473/x
  3. Step 3: Cross multiply
    323,333x = 489,473 × 489,473
  4. Step 4: Simplify right side
    323,333x = 239,583,817,729
  5. Step 5: Solve for x
    x = 239,583,817,729/323,333
  6. Step 6: Final answer
    x = 740,981.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.