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Finding the Third Proportional to 489,820 and 756,556

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Solution

The third proportional to 489,820 and 756,556 is: 1,168,545.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,820 : 756,556 = 756,556 : x
  2. Step 2: Convert to fraction form
    489,820/756,556 = 756,556/x
  3. Step 3: Cross multiply
    489,820x = 756,556 × 756,556
  4. Step 4: Simplify right side
    489,820x = 572,376,981,136
  5. Step 5: Solve for x
    x = 572,376,981,136/489,820
  6. Step 6: Final answer
    x = 1,168,545.55

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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.