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Finding the Third Proportional to 489,822 and 756,558

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Solution

The third proportional to 489,822 and 756,558 is: 1,168,546.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,822 : 756,558 = 756,558 : x
  2. Step 2: Convert to fraction form
    489,822/756,558 = 756,558/x
  3. Step 3: Cross multiply
    489,822x = 756,558 × 756,558
  4. Step 4: Simplify right side
    489,822x = 572,380,007,364
  5. Step 5: Solve for x
    x = 572,380,007,364/489,822
  6. Step 6: Final answer
    x = 1,168,546.96

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.