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Finding the Third Proportional to 335,412 and 455,758

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Solution

The third proportional to 335,412 and 455,758 is: 619,284.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,412 : 455,758 = 455,758 : x
  2. Step 2: Convert to fraction form
    335,412/455,758 = 455,758/x
  3. Step 3: Cross multiply
    335,412x = 455,758 × 455,758
  4. Step 4: Simplify right side
    335,412x = 207,715,354,564
  5. Step 5: Solve for x
    x = 207,715,354,564/335,412
  6. Step 6: Final answer
    x = 619,284.21

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.