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Finding the Third Proportional to 78,491 and 170,023

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Solution

The third proportional to 78,491 and 170,023 is: 368,294.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,491 : 170,023 = 170,023 : x
  2. Step 2: Convert to fraction form
    78,491/170,023 = 170,023/x
  3. Step 3: Cross multiply
    78,491x = 170,023 × 170,023
  4. Step 4: Simplify right side
    78,491x = 28,907,820,529
  5. Step 5: Solve for x
    x = 28,907,820,529/78,491
  6. Step 6: Final answer
    x = 368,294.72

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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.