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Finding the Third Proportional to 275,499 and 417,407.63

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Solution

The third proportional to 275,499 and 417,407.63 is: 632,412.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,499 : 417,407.63 = 417,407.63 : x
  2. Step 2: Convert to fraction form
    275,499/417,407.63 = 417,407.63/x
  3. Step 3: Cross multiply
    275,499x = 417,407.63 × 417,407.63
  4. Step 4: Simplify right side
    275,499x = 174,229,125,408.14
  5. Step 5: Solve for x
    x = 174,229,125,408.14/275,499
  6. Step 6: Final answer
    x = 632,412.91

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.