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Finding the Third Proportional to 172,692 and 372,595.50

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Solution

The third proportional to 172,692 and 372,595.50 is: 803,901.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,692 : 372,595.50 = 372,595.50 : x
  2. Step 2: Convert to fraction form
    172,692/372,595.50 = 372,595.50/x
  3. Step 3: Cross multiply
    172,692x = 372,595.50 × 372,595.50
  4. Step 4: Simplify right side
    172,692x = 138,827,406,620.25
  5. Step 5: Solve for x
    x = 138,827,406,620.25/172,692
  6. Step 6: Final answer
    x = 803,901.78

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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.