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Finding the Third Proportional to 77,496 and 171,646

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Solution

The third proportional to 77,496 and 171,646 is: 380,178.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,496 : 171,646 = 171,646 : x
  2. Step 2: Convert to fraction form
    77,496/171,646 = 171,646/x
  3. Step 3: Cross multiply
    77,496x = 171,646 × 171,646
  4. Step 4: Simplify right side
    77,496x = 29,462,349,316
  5. Step 5: Solve for x
    x = 29,462,349,316/77,496
  6. Step 6: Final answer
    x = 380,178.97

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.