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Finding the Third Proportional to 36,210 and 78,854

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Solution

The third proportional to 36,210 and 78,854 is: 171,719.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,210 : 78,854 = 78,854 : x
  2. Step 2: Convert to fraction form
    36,210/78,854 = 78,854/x
  3. Step 3: Cross multiply
    36,210x = 78,854 × 78,854
  4. Step 4: Simplify right side
    36,210x = 6,217,953,316
  5. Step 5: Solve for x
    x = 6,217,953,316/36,210
  6. Step 6: Final answer
    x = 171,719.23

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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.