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Finding the Third Proportional to 270,254 and 423,940

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Solution

The third proportional to 270,254 and 423,940 is: 665,022.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,254 : 423,940 = 423,940 : x
  2. Step 2: Convert to fraction form
    270,254/423,940 = 423,940/x
  3. Step 3: Cross multiply
    270,254x = 423,940 × 423,940
  4. Step 4: Simplify right side
    270,254x = 179,725,123,600
  5. Step 5: Solve for x
    x = 179,725,123,600/270,254
  6. Step 6: Final answer
    x = 665,022.99

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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.