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Finding the Third Proportional to 187,230 and 407,778

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Solution

The third proportional to 187,230 and 407,778 is: 888,121.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,230 : 407,778 = 407,778 : x
  2. Step 2: Convert to fraction form
    187,230/407,778 = 407,778/x
  3. Step 3: Cross multiply
    187,230x = 407,778 × 407,778
  4. Step 4: Simplify right side
    187,230x = 166,282,897,284
  5. Step 5: Solve for x
    x = 166,282,897,284/187,230
  6. Step 6: Final answer
    x = 888,121.01

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.