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Finding the Third Proportional to 184,964 and 280,128

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Solution

The third proportional to 184,964 and 280,128 is: 424,253.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,964 : 280,128 = 280,128 : x
  2. Step 2: Convert to fraction form
    184,964/280,128 = 280,128/x
  3. Step 3: Cross multiply
    184,964x = 280,128 × 280,128
  4. Step 4: Simplify right side
    184,964x = 78,471,696,384
  5. Step 5: Solve for x
    x = 78,471,696,384/184,964
  6. Step 6: Final answer
    x = 424,253.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.