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Finding the Third Proportional to 128,959 and 280,056

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Solution

The third proportional to 128,959 and 280,056 is: 608,188.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,959 : 280,056 = 280,056 : x
  2. Step 2: Convert to fraction form
    128,959/280,056 = 280,056/x
  3. Step 3: Cross multiply
    128,959x = 280,056 × 280,056
  4. Step 4: Simplify right side
    128,959x = 78,431,363,136
  5. Step 5: Solve for x
    x = 78,431,363,136/128,959
  6. Step 6: Final answer
    x = 608,188.36

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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.