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Finding the Third Proportional to 113,681 and 178,338

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Solution

The third proportional to 113,681 and 178,338 is: 279,769.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,681 : 178,338 = 178,338 : x
  2. Step 2: Convert to fraction form
    113,681/178,338 = 178,338/x
  3. Step 3: Cross multiply
    113,681x = 178,338 × 178,338
  4. Step 4: Simplify right side
    113,681x = 31,804,442,244
  5. Step 5: Solve for x
    x = 31,804,442,244/113,681
  6. Step 6: Final answer
    x = 279,769.20

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.