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Finding the Third Proportional to 128,578 and 286,964

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Solution

The third proportional to 128,578 and 286,964 is: 640,454.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,578 : 286,964 = 286,964 : x
  2. Step 2: Convert to fraction form
    128,578/286,964 = 286,964/x
  3. Step 3: Cross multiply
    128,578x = 286,964 × 286,964
  4. Step 4: Simplify right side
    128,578x = 82,348,337,296
  5. Step 5: Solve for x
    x = 82,348,337,296/128,578
  6. Step 6: Final answer
    x = 640,454.33

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.