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Finding the Third Proportional to 83,316 and 181,420

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Solution

The third proportional to 83,316 and 181,420 is: 395,040.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,316 : 181,420 = 181,420 : x
  2. Step 2: Convert to fraction form
    83,316/181,420 = 181,420/x
  3. Step 3: Cross multiply
    83,316x = 181,420 × 181,420
  4. Step 4: Simplify right side
    83,316x = 32,913,216,400
  5. Step 5: Solve for x
    x = 32,913,216,400/83,316
  6. Step 6: Final answer
    x = 395,040.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.