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Finding the Third Proportional to 145,574 and 206,211

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Solution

The third proportional to 145,574 and 206,211 is: 292,105.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,574 : 206,211 = 206,211 : x
  2. Step 2: Convert to fraction form
    145,574/206,211 = 206,211/x
  3. Step 3: Cross multiply
    145,574x = 206,211 × 206,211
  4. Step 4: Simplify right side
    145,574x = 42,522,976,521
  5. Step 5: Solve for x
    x = 42,522,976,521/145,574
  6. Step 6: Final answer
    x = 292,105.57

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.