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Finding the Third Proportional to 207,318 and 310,909

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Solution

The third proportional to 207,318 and 310,909 is: 466,261.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,318 : 310,909 = 310,909 : x
  2. Step 2: Convert to fraction form
    207,318/310,909 = 310,909/x
  3. Step 3: Cross multiply
    207,318x = 310,909 × 310,909
  4. Step 4: Simplify right side
    207,318x = 96,664,406,281
  5. Step 5: Solve for x
    x = 96,664,406,281/207,318
  6. Step 6: Final answer
    x = 466,261.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.