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Finding the Third Proportional to 78,813 and 171,023

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Solution

The third proportional to 78,813 and 171,023 is: 371,117.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,813 : 171,023 = 171,023 : x
  2. Step 2: Convert to fraction form
    78,813/171,023 = 171,023/x
  3. Step 3: Cross multiply
    78,813x = 171,023 × 171,023
  4. Step 4: Simplify right side
    78,813x = 29,248,866,529
  5. Step 5: Solve for x
    x = 29,248,866,529/78,813
  6. Step 6: Final answer
    x = 371,117.28

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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.