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Finding the Third Proportional to 216,178 and 307,949

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Solution

The third proportional to 216,178 and 307,949 is: 438,678.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,178 : 307,949 = 307,949 : x
  2. Step 2: Convert to fraction form
    216,178/307,949 = 307,949/x
  3. Step 3: Cross multiply
    216,178x = 307,949 × 307,949
  4. Step 4: Simplify right side
    216,178x = 94,832,586,601
  5. Step 5: Solve for x
    x = 94,832,586,601/216,178
  6. Step 6: Final answer
    x = 438,678.25

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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.