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Finding the Third Proportional to 128,811 and 279,072

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Solution

The third proportional to 128,811 and 279,072 is: 604,615.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,811 : 279,072 = 279,072 : x
  2. Step 2: Convert to fraction form
    128,811/279,072 = 279,072/x
  3. Step 3: Cross multiply
    128,811x = 279,072 × 279,072
  4. Step 4: Simplify right side
    128,811x = 77,881,181,184
  5. Step 5: Solve for x
    x = 77,881,181,184/128,811
  6. Step 6: Final answer
    x = 604,615.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.