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Finding the Third Proportional to 78,421 and 169,784

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Solution

The third proportional to 78,421 and 169,784 is: 367,587.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,421 : 169,784 = 169,784 : x
  2. Step 2: Convert to fraction form
    78,421/169,784 = 169,784/x
  3. Step 3: Cross multiply
    78,421x = 169,784 × 169,784
  4. Step 4: Simplify right side
    78,421x = 28,826,606,656
  5. Step 5: Solve for x
    x = 28,826,606,656/78,421
  6. Step 6: Final answer
    x = 367,587.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.