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Finding the Third Proportional to 275,236 and 423,180

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Solution

The third proportional to 275,236 and 423,180 is: 650,646.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,236 : 423,180 = 423,180 : x
  2. Step 2: Convert to fraction form
    275,236/423,180 = 423,180/x
  3. Step 3: Cross multiply
    275,236x = 423,180 × 423,180
  4. Step 4: Simplify right side
    275,236x = 179,081,312,400
  5. Step 5: Solve for x
    x = 179,081,312,400/275,236
  6. Step 6: Final answer
    x = 650,646.40

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.