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Finding the Third Proportional to 187,010 and 405,724

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Solution

The third proportional to 187,010 and 405,724 is: 880,230.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,010 : 405,724 = 405,724 : x
  2. Step 2: Convert to fraction form
    187,010/405,724 = 405,724/x
  3. Step 3: Cross multiply
    187,010x = 405,724 × 405,724
  4. Step 4: Simplify right side
    187,010x = 164,611,964,176
  5. Step 5: Solve for x
    x = 164,611,964,176/187,010
  6. Step 6: Final answer
    x = 880,230.81

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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.