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Finding the Third Proportional to 77,220 and 169,203

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Solution

The third proportional to 77,220 and 169,203 is: 370,754.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,220 : 169,203 = 169,203 : x
  2. Step 2: Convert to fraction form
    77,220/169,203 = 169,203/x
  3. Step 3: Cross multiply
    77,220x = 169,203 × 169,203
  4. Step 4: Simplify right side
    77,220x = 28,629,655,209
  5. Step 5: Solve for x
    x = 28,629,655,209/77,220
  6. Step 6: Final answer
    x = 370,754.41

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.