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Finding the Third Proportional to 28,780 and 64,253

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Solution

The third proportional to 28,780 and 64,253 is: 143,448.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,780 : 64,253 = 64,253 : x
  2. Step 2: Convert to fraction form
    28,780/64,253 = 64,253/x
  3. Step 3: Cross multiply
    28,780x = 64,253 × 64,253
  4. Step 4: Simplify right side
    28,780x = 4,128,448,009
  5. Step 5: Solve for x
    x = 4,128,448,009/28,780
  6. Step 6: Final answer
    x = 143,448.51

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.