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Finding the Third Proportional to 128,759 and 278,953

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Solution

The third proportional to 128,759 and 278,953 is: 604,344.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,759 : 278,953 = 278,953 : x
  2. Step 2: Convert to fraction form
    128,759/278,953 = 278,953/x
  3. Step 3: Cross multiply
    128,759x = 278,953 × 278,953
  4. Step 4: Simplify right side
    128,759x = 77,814,776,209
  5. Step 5: Solve for x
    x = 77,814,776,209/128,759
  6. Step 6: Final answer
    x = 604,344.37

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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.