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Finding the Third Proportional to 128,576 and 278,536

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Solution

The third proportional to 128,576 and 278,536 is: 603,396.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,576 : 278,536 = 278,536 : x
  2. Step 2: Convert to fraction form
    128,576/278,536 = 278,536/x
  3. Step 3: Cross multiply
    128,576x = 278,536 × 278,536
  4. Step 4: Simplify right side
    128,576x = 77,582,303,296
  5. Step 5: Solve for x
    x = 77,582,303,296/128,576
  6. Step 6: Final answer
    x = 603,396.46

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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.