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Finding the Third Proportional to 128,596 and 278,576

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Solution

The third proportional to 128,596 and 278,576 is: 603,475.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,596 : 278,576 = 278,576 : x
  2. Step 2: Convert to fraction form
    128,596/278,576 = 278,576/x
  3. Step 3: Cross multiply
    128,596x = 278,576 × 278,576
  4. Step 4: Simplify right side
    128,596x = 77,604,587,776
  5. Step 5: Solve for x
    x = 77,604,587,776/128,596
  6. Step 6: Final answer
    x = 603,475.91

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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.