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Finding the Third Proportional to 188,142 and 411,985

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Solution

The third proportional to 188,142 and 411,985 is: 902,146.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,142 : 411,985 = 411,985 : x
  2. Step 2: Convert to fraction form
    188,142/411,985 = 411,985/x
  3. Step 3: Cross multiply
    188,142x = 411,985 × 411,985
  4. Step 4: Simplify right side
    188,142x = 169,731,640,225
  5. Step 5: Solve for x
    x = 169,731,640,225/188,142
  6. Step 6: Final answer
    x = 902,146.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.