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Finding the Third Proportional to 77,196 and 168,972

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Solution

The third proportional to 77,196 and 168,972 is: 369,857.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,196 : 168,972 = 168,972 : x
  2. Step 2: Convert to fraction form
    77,196/168,972 = 168,972/x
  3. Step 3: Cross multiply
    77,196x = 168,972 × 168,972
  4. Step 4: Simplify right side
    77,196x = 28,551,536,784
  5. Step 5: Solve for x
    x = 28,551,536,784/77,196
  6. Step 6: Final answer
    x = 369,857.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.