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Finding the Third Proportional to 145,931 and 209,680

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Solution

The third proportional to 145,931 and 209,680 is: 301,277.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,931 : 209,680 = 209,680 : x
  2. Step 2: Convert to fraction form
    145,931/209,680 = 209,680/x
  3. Step 3: Cross multiply
    145,931x = 209,680 × 209,680
  4. Step 4: Simplify right side
    145,931x = 43,965,702,400
  5. Step 5: Solve for x
    x = 43,965,702,400/145,931
  6. Step 6: Final answer
    x = 301,277.33

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.