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Finding the Third Proportional to 486,014 and 654,268

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Solution

The third proportional to 486,014 and 654,268 is: 880,770.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,014 : 654,268 = 654,268 : x
  2. Step 2: Convert to fraction form
    486,014/654,268 = 654,268/x
  3. Step 3: Cross multiply
    486,014x = 654,268 × 654,268
  4. Step 4: Simplify right side
    486,014x = 428,066,615,824
  5. Step 5: Solve for x
    x = 428,066,615,824/486,014
  6. Step 6: Final answer
    x = 880,770.13

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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.