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Finding the Third Proportional to 68,490 and 138,864

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Solution

The third proportional to 68,490 and 138,864 is: 281,547.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,490 : 138,864 = 138,864 : x
  2. Step 2: Convert to fraction form
    68,490/138,864 = 138,864/x
  3. Step 3: Cross multiply
    68,490x = 138,864 × 138,864
  4. Step 4: Simplify right side
    68,490x = 19,283,210,496
  5. Step 5: Solve for x
    x = 19,283,210,496/68,490
  6. Step 6: Final answer
    x = 281,547.82

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.