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Finding the Third Proportional to 489,770 and 756,820

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Solution

The third proportional to 489,770 and 756,820 is: 1,169,480.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,770 : 756,820 = 756,820 : x
  2. Step 2: Convert to fraction form
    489,770/756,820 = 756,820/x
  3. Step 3: Cross multiply
    489,770x = 756,820 × 756,820
  4. Step 4: Simplify right side
    489,770x = 572,776,512,400
  5. Step 5: Solve for x
    x = 572,776,512,400/489,770
  6. Step 6: Final answer
    x = 1,169,480.60

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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.