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Finding the Third Proportional to 256,596 and 403,056

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Solution

The third proportional to 256,596 and 403,056 is: 633,112.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,596 : 403,056 = 403,056 : x
  2. Step 2: Convert to fraction form
    256,596/403,056 = 403,056/x
  3. Step 3: Cross multiply
    256,596x = 403,056 × 403,056
  4. Step 4: Simplify right side
    256,596x = 162,454,139,136
  5. Step 5: Solve for x
    x = 162,454,139,136/256,596
  6. Step 6: Final answer
    x = 633,112.52

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.