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Finding the Third Proportional to 28,276 and 61,424

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Solution

The third proportional to 28,276 and 61,424 is: 133,431.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,276 : 61,424 = 61,424 : x
  2. Step 2: Convert to fraction form
    28,276/61,424 = 61,424/x
  3. Step 3: Cross multiply
    28,276x = 61,424 × 61,424
  4. Step 4: Simplify right side
    28,276x = 3,772,907,776
  5. Step 5: Solve for x
    x = 3,772,907,776/28,276
  6. Step 6: Final answer
    x = 133,431.45

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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.