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Finding the Third Proportional to 155,215 and 332,565

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Solution

The third proportional to 155,215 and 332,565 is: 712,556.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,215 : 332,565 = 332,565 : x
  2. Step 2: Convert to fraction form
    155,215/332,565 = 332,565/x
  3. Step 3: Cross multiply
    155,215x = 332,565 × 332,565
  4. Step 4: Simplify right side
    155,215x = 110,599,479,225
  5. Step 5: Solve for x
    x = 110,599,479,225/155,215
  6. Step 6: Final answer
    x = 712,556.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.