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Finding the Third Proportional to 216,170 and 307,938

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Solution

The third proportional to 216,170 and 307,938 is: 438,663.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,170 : 307,938 = 307,938 : x
  2. Step 2: Convert to fraction form
    216,170/307,938 = 307,938/x
  3. Step 3: Cross multiply
    216,170x = 307,938 × 307,938
  4. Step 4: Simplify right side
    216,170x = 94,825,811,844
  5. Step 5: Solve for x
    x = 94,825,811,844/216,170
  6. Step 6: Final answer
    x = 438,663.14

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.