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Finding the Third Proportional to 187,670 and 274,210

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Solution

The third proportional to 187,670 and 274,210 is: 400,656.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,670 : 274,210 = 274,210 : x
  2. Step 2: Convert to fraction form
    187,670/274,210 = 274,210/x
  3. Step 3: Cross multiply
    187,670x = 274,210 × 274,210
  4. Step 4: Simplify right side
    187,670x = 75,191,124,100
  5. Step 5: Solve for x
    x = 75,191,124,100/187,670
  6. Step 6: Final answer
    x = 400,656.07

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.