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Finding the Third Proportional to 77,914 and 170,659

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Solution

The third proportional to 77,914 and 170,659 is: 373,803.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,914 : 170,659 = 170,659 : x
  2. Step 2: Convert to fraction form
    77,914/170,659 = 170,659/x
  3. Step 3: Cross multiply
    77,914x = 170,659 × 170,659
  4. Step 4: Simplify right side
    77,914x = 29,124,494,281
  5. Step 5: Solve for x
    x = 29,124,494,281/77,914
  6. Step 6: Final answer
    x = 373,803.09

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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.