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Finding the Third Proportional to 77,316 and 116,742

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Solution

The third proportional to 77,316 and 116,742 is: 176,272.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,316 : 116,742 = 116,742 : x
  2. Step 2: Convert to fraction form
    77,316/116,742 = 116,742/x
  3. Step 3: Cross multiply
    77,316x = 116,742 × 116,742
  4. Step 4: Simplify right side
    77,316x = 13,628,694,564
  5. Step 5: Solve for x
    x = 13,628,694,564/77,316
  6. Step 6: Final answer
    x = 176,272.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.