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Finding the Third Proportional to 170,213 and 256,055

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Solution

The third proportional to 170,213 and 256,055 is: 385,188.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,213 : 256,055 = 256,055 : x
  2. Step 2: Convert to fraction form
    170,213/256,055 = 256,055/x
  3. Step 3: Cross multiply
    170,213x = 256,055 × 256,055
  4. Step 4: Simplify right side
    170,213x = 65,564,163,025
  5. Step 5: Solve for x
    x = 65,564,163,025/170,213
  6. Step 6: Final answer
    x = 385,188.93

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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.