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Finding the Third Proportional to 310,924 and 659,214

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Solution

The third proportional to 310,924 and 659,214 is: 1,397,650.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,924 : 659,214 = 659,214 : x
  2. Step 2: Convert to fraction form
    310,924/659,214 = 659,214/x
  3. Step 3: Cross multiply
    310,924x = 659,214 × 659,214
  4. Step 4: Simplify right side
    310,924x = 434,563,097,796
  5. Step 5: Solve for x
    x = 434,563,097,796/310,924
  6. Step 6: Final answer
    x = 1,397,650.54

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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.