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Finding the Third Proportional to 79,926 and 172,316

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Solution

The third proportional to 79,926 and 172,316 is: 371,503.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,926 : 172,316 = 172,316 : x
  2. Step 2: Convert to fraction form
    79,926/172,316 = 172,316/x
  3. Step 3: Cross multiply
    79,926x = 172,316 × 172,316
  4. Step 4: Simplify right side
    79,926x = 29,692,803,856
  5. Step 5: Solve for x
    x = 29,692,803,856/79,926
  6. Step 6: Final answer
    x = 371,503.69

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.