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Finding the Third Proportional to 79,056 and 172,860

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Solution

The third proportional to 79,056 and 172,860 is: 377,967.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,056 : 172,860 = 172,860 : x
  2. Step 2: Convert to fraction form
    79,056/172,860 = 172,860/x
  3. Step 3: Cross multiply
    79,056x = 172,860 × 172,860
  4. Step 4: Simplify right side
    79,056x = 29,880,579,600
  5. Step 5: Solve for x
    x = 29,880,579,600/79,056
  6. Step 6: Final answer
    x = 377,967.26

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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.