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Finding the Third Proportional to 78,768 and 168,471

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Solution

The third proportional to 78,768 and 168,471 is: 360,330.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,768 : 168,471 = 168,471 : x
  2. Step 2: Convert to fraction form
    78,768/168,471 = 168,471/x
  3. Step 3: Cross multiply
    78,768x = 168,471 × 168,471
  4. Step 4: Simplify right side
    78,768x = 28,382,477,841
  5. Step 5: Solve for x
    x = 28,382,477,841/78,768
  6. Step 6: Final answer
    x = 360,330.06

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.