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Finding the Third Proportional to 66,957 and 139,458

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Solution

The third proportional to 66,957 and 139,458 is: 290,463.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,957 : 139,458 = 139,458 : x
  2. Step 2: Convert to fraction form
    66,957/139,458 = 139,458/x
  3. Step 3: Cross multiply
    66,957x = 139,458 × 139,458
  4. Step 4: Simplify right side
    66,957x = 19,448,533,764
  5. Step 5: Solve for x
    x = 19,448,533,764/66,957
  6. Step 6: Final answer
    x = 290,463.04

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.