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Finding the Third Proportional to 77,270 and 169,288

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Solution

The third proportional to 77,270 and 169,288 is: 370,886.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,270 : 169,288 = 169,288 : x
  2. Step 2: Convert to fraction form
    77,270/169,288 = 169,288/x
  3. Step 3: Cross multiply
    77,270x = 169,288 × 169,288
  4. Step 4: Simplify right side
    77,270x = 28,658,426,944
  5. Step 5: Solve for x
    x = 28,658,426,944/77,270
  6. Step 6: Final answer
    x = 370,886.85

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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.