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Finding the Third Proportional to 489,760 and 756,804

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Solution

The third proportional to 489,760 and 756,804 is: 1,169,455.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,760 : 756,804 = 756,804 : x
  2. Step 2: Convert to fraction form
    489,760/756,804 = 756,804/x
  3. Step 3: Cross multiply
    489,760x = 756,804 × 756,804
  4. Step 4: Simplify right side
    489,760x = 572,752,294,416
  5. Step 5: Solve for x
    x = 572,752,294,416/489,760
  6. Step 6: Final answer
    x = 1,169,455.03

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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.