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Finding the Third Proportional to 262,804.50 and 423,387

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Solution

The third proportional to 262,804.50 and 423,387 is: 682,090.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,804.50 : 423,387 = 423,387 : x
  2. Step 2: Convert to fraction form
    262,804.50/423,387 = 423,387/x
  3. Step 3: Cross multiply
    262,804.50x = 423,387 × 423,387
  4. Step 4: Simplify right side
    262,804.50x = 179,256,551,769
  5. Step 5: Solve for x
    x = 179,256,551,769/262,804.50
  6. Step 6: Final answer
    x = 682,090.88

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.