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Finding the Third Proportional to 154,427 and 230,290

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Solution

The third proportional to 154,427 and 230,290 is: 343,421.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,427 : 230,290 = 230,290 : x
  2. Step 2: Convert to fraction form
    154,427/230,290 = 230,290/x
  3. Step 3: Cross multiply
    154,427x = 230,290 × 230,290
  4. Step 4: Simplify right side
    154,427x = 53,033,484,100
  5. Step 5: Solve for x
    x = 53,033,484,100/154,427
  6. Step 6: Final answer
    x = 343,421.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.