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Finding the Third Proportional to 486,011 and 654,264

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Solution

The third proportional to 486,011 and 654,264 is: 880,764.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,011 : 654,264 = 654,264 : x
  2. Step 2: Convert to fraction form
    486,011/654,264 = 654,264/x
  3. Step 3: Cross multiply
    486,011x = 654,264 × 654,264
  4. Step 4: Simplify right side
    486,011x = 428,061,381,696
  5. Step 5: Solve for x
    x = 428,061,381,696/486,011
  6. Step 6: Final answer
    x = 880,764.80

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.