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Finding the Third Proportional to 172,154 and 372,895

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Solution

The third proportional to 172,154 and 372,895 is: 807,711.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,154 : 372,895 = 372,895 : x
  2. Step 2: Convert to fraction form
    172,154/372,895 = 372,895/x
  3. Step 3: Cross multiply
    172,154x = 372,895 × 372,895
  4. Step 4: Simplify right side
    172,154x = 139,050,681,025
  5. Step 5: Solve for x
    x = 139,050,681,025/172,154
  6. Step 6: Final answer
    x = 807,711.01

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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.