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Finding the Third Proportional to 310,921 and 659,207

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Solution

The third proportional to 310,921 and 659,207 is: 1,397,634.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,921 : 659,207 = 659,207 : x
  2. Step 2: Convert to fraction form
    310,921/659,207 = 659,207/x
  3. Step 3: Cross multiply
    310,921x = 659,207 × 659,207
  4. Step 4: Simplify right side
    310,921x = 434,553,868,849
  5. Step 5: Solve for x
    x = 434,553,868,849/310,921
  6. Step 6: Final answer
    x = 1,397,634.35

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.