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Finding the Third Proportional to 414,534 and 640,121

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Solution

The third proportional to 414,534 and 640,121 is: 988,471.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,534 : 640,121 = 640,121 : x
  2. Step 2: Convert to fraction form
    414,534/640,121 = 640,121/x
  3. Step 3: Cross multiply
    414,534x = 640,121 × 640,121
  4. Step 4: Simplify right side
    414,534x = 409,754,894,641
  5. Step 5: Solve for x
    x = 409,754,894,641/414,534
  6. Step 6: Final answer
    x = 988,471.14

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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.