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Finding the Third Proportional to 128,576 and 286,960

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Solution

The third proportional to 128,576 and 286,960 is: 640,446.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,576 : 286,960 = 286,960 : x
  2. Step 2: Convert to fraction form
    128,576/286,960 = 286,960/x
  3. Step 3: Cross multiply
    128,576x = 286,960 × 286,960
  4. Step 4: Simplify right side
    128,576x = 82,346,041,600
  5. Step 5: Solve for x
    x = 82,346,041,600/128,576
  6. Step 6: Final answer
    x = 640,446.44

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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.