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Finding the Third Proportional to 489,334 and 756,265

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Solution

The third proportional to 489,334 and 756,265 is: 1,168,806.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,334 : 756,265 = 756,265 : x
  2. Step 2: Convert to fraction form
    489,334/756,265 = 756,265/x
  3. Step 3: Cross multiply
    489,334x = 756,265 × 756,265
  4. Step 4: Simplify right side
    489,334x = 571,936,750,225
  5. Step 5: Solve for x
    x = 571,936,750,225/489,334
  6. Step 6: Final answer
    x = 1,168,806.48

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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.