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Finding the Third Proportional to 187,210 and 403,945

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Solution

The third proportional to 187,210 and 403,945 is: 871,596.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,210 : 403,945 = 403,945 : x
  2. Step 2: Convert to fraction form
    187,210/403,945 = 403,945/x
  3. Step 3: Cross multiply
    187,210x = 403,945 × 403,945
  4. Step 4: Simplify right side
    187,210x = 163,171,563,025
  5. Step 5: Solve for x
    x = 163,171,563,025/187,210
  6. Step 6: Final answer
    x = 871,596.41

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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.