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Finding the Third Proportional to 154,213 and 230,039

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Solution

The third proportional to 154,213 and 230,039 is: 343,148.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,213 : 230,039 = 230,039 : x
  2. Step 2: Convert to fraction form
    154,213/230,039 = 230,039/x
  3. Step 3: Cross multiply
    154,213x = 230,039 × 230,039
  4. Step 4: Simplify right side
    154,213x = 52,917,941,521
  5. Step 5: Solve for x
    x = 52,917,941,521/154,213
  6. Step 6: Final answer
    x = 343,148.38

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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.