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Finding the Third Proportional to 110,332 and 238,156

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Solution

The third proportional to 110,332 and 238,156 is: 514,069.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,332 : 238,156 = 238,156 : x
  2. Step 2: Convert to fraction form
    110,332/238,156 = 238,156/x
  3. Step 3: Cross multiply
    110,332x = 238,156 × 238,156
  4. Step 4: Simplify right side
    110,332x = 56,718,280,336
  5. Step 5: Solve for x
    x = 56,718,280,336/110,332
  6. Step 6: Final answer
    x = 514,069.18

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.