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Finding the Third Proportional to 133,948 and 207,570

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Solution

The third proportional to 133,948 and 207,570 is: 321,656.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,948 : 207,570 = 207,570 : x
  2. Step 2: Convert to fraction form
    133,948/207,570 = 207,570/x
  3. Step 3: Cross multiply
    133,948x = 207,570 × 207,570
  4. Step 4: Simplify right side
    133,948x = 43,085,304,900
  5. Step 5: Solve for x
    x = 43,085,304,900/133,948
  6. Step 6: Final answer
    x = 321,656.95

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.