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Finding the Third Proportional to 28,308 and 61,228

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Solution

The third proportional to 28,308 and 61,228 is: 132,431.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,308 : 61,228 = 61,228 : x
  2. Step 2: Convert to fraction form
    28,308/61,228 = 61,228/x
  3. Step 3: Cross multiply
    28,308x = 61,228 × 61,228
  4. Step 4: Simplify right side
    28,308x = 3,748,867,984
  5. Step 5: Solve for x
    x = 3,748,867,984/28,308
  6. Step 6: Final answer
    x = 132,431.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.