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Finding the Third Proportional to 78,464.50 and 171,509

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Solution

The third proportional to 78,464.50 and 171,509 is: 374,887.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,464.50 : 171,509 = 171,509 : x
  2. Step 2: Convert to fraction form
    78,464.50/171,509 = 171,509/x
  3. Step 3: Cross multiply
    78,464.50x = 171,509 × 171,509
  4. Step 4: Simplify right side
    78,464.50x = 29,415,337,081
  5. Step 5: Solve for x
    x = 29,415,337,081/78,464.50
  6. Step 6: Final answer
    x = 374,887.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.