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Finding the Third Proportional to 275,235 and 423,178.50

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Solution

The third proportional to 275,235 and 423,178.50 is: 650,644.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,235 : 423,178.50 = 423,178.50 : x
  2. Step 2: Convert to fraction form
    275,235/423,178.50 = 423,178.50/x
  3. Step 3: Cross multiply
    275,235x = 423,178.50 × 423,178.50
  4. Step 4: Simplify right side
    275,235x = 179,080,042,862.25
  5. Step 5: Solve for x
    x = 179,080,042,862.25/275,235
  6. Step 6: Final answer
    x = 650,644.15

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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.