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Finding the Third Proportional to 256,718.25 and 572,464.69

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Solution

The third proportional to 256,718.25 and 572,464.69 is: 1,276,558.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,718.25 : 572,464.69 = 572,464.69 : x
  2. Step 2: Convert to fraction form
    256,718.25/572,464.69 = 572,464.69/x
  3. Step 3: Cross multiply
    256,718.25x = 572,464.69 × 572,464.69
  4. Step 4: Simplify right side
    256,718.25x = 327,715,818,434.47
  5. Step 5: Solve for x
    x = 327,715,818,434.47/256,718.25
  6. Step 6: Final answer
    x = 1,276,558.32

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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.