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Finding the Third Proportional to 486,024 and 654,279

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Solution

The third proportional to 486,024 and 654,279 is: 880,781.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,024 : 654,279 = 654,279 : x
  2. Step 2: Convert to fraction form
    486,024/654,279 = 654,279/x
  3. Step 3: Cross multiply
    486,024x = 654,279 × 654,279
  4. Step 4: Simplify right side
    486,024x = 428,081,009,841
  5. Step 5: Solve for x
    x = 428,081,009,841/486,024
  6. Step 6: Final answer
    x = 880,781.63

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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.