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Finding the Third Proportional to 398,218 and 510,849

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Solution

The third proportional to 398,218 and 510,849 is: 655,336.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,218 : 510,849 = 510,849 : x
  2. Step 2: Convert to fraction form
    398,218/510,849 = 510,849/x
  3. Step 3: Cross multiply
    398,218x = 510,849 × 510,849
  4. Step 4: Simplify right side
    398,218x = 260,966,700,801
  5. Step 5: Solve for x
    x = 260,966,700,801/398,218
  6. Step 6: Final answer
    x = 655,336.28

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.