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Finding the Third Proportional to 256,416 and 562,036

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Solution

The third proportional to 256,416 and 562,036 is: 1,231,921.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,416 : 562,036 = 562,036 : x
  2. Step 2: Convert to fraction form
    256,416/562,036 = 562,036/x
  3. Step 3: Cross multiply
    256,416x = 562,036 × 562,036
  4. Step 4: Simplify right side
    256,416x = 315,884,465,296
  5. Step 5: Solve for x
    x = 315,884,465,296/256,416
  6. Step 6: Final answer
    x = 1,231,921.82

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.