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Finding the Third Proportional to 113,616 and 177,840

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Solution

The third proportional to 113,616 and 177,840 is: 278,368.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,616 : 177,840 = 177,840 : x
  2. Step 2: Convert to fraction form
    113,616/177,840 = 177,840/x
  3. Step 3: Cross multiply
    113,616x = 177,840 × 177,840
  4. Step 4: Simplify right side
    113,616x = 31,627,065,600
  5. Step 5: Solve for x
    x = 31,627,065,600/113,616
  6. Step 6: Final answer
    x = 278,368.06

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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.