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Finding the Third Proportional to 69,276 and 148,029

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Solution

The third proportional to 69,276 and 148,029 is: 316,308.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,276 : 148,029 = 148,029 : x
  2. Step 2: Convert to fraction form
    69,276/148,029 = 148,029/x
  3. Step 3: Cross multiply
    69,276x = 148,029 × 148,029
  4. Step 4: Simplify right side
    69,276x = 21,912,584,841
  5. Step 5: Solve for x
    x = 21,912,584,841/69,276
  6. Step 6: Final answer
    x = 316,308.46

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.