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Finding the Third Proportional to 154,630 and 238,929

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Solution

The third proportional to 154,630 and 238,929 is: 369,184.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,630 : 238,929 = 238,929 : x
  2. Step 2: Convert to fraction form
    154,630/238,929 = 238,929/x
  3. Step 3: Cross multiply
    154,630x = 238,929 × 238,929
  4. Step 4: Simplify right side
    154,630x = 57,087,067,041
  5. Step 5: Solve for x
    x = 57,087,067,041/154,630
  6. Step 6: Final answer
    x = 369,184.94

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.