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Finding the Third Proportional to 489,767 and 756,815

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Solution

The third proportional to 489,767 and 756,815 is: 1,169,472.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,767 : 756,815 = 756,815 : x
  2. Step 2: Convert to fraction form
    489,767/756,815 = 756,815/x
  3. Step 3: Cross multiply
    489,767x = 756,815 × 756,815
  4. Step 4: Simplify right side
    489,767x = 572,768,944,225
  5. Step 5: Solve for x
    x = 572,768,944,225/489,767
  6. Step 6: Final answer
    x = 1,169,472.31

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.