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Finding the Third Proportional to 335,410 and 455,755

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Solution

The third proportional to 335,410 and 455,755 is: 619,279.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,410 : 455,755 = 455,755 : x
  2. Step 2: Convert to fraction form
    335,410/455,755 = 455,755/x
  3. Step 3: Cross multiply
    335,410x = 455,755 × 455,755
  4. Step 4: Simplify right side
    335,410x = 207,712,620,025
  5. Step 5: Solve for x
    x = 207,712,620,025/335,410
  6. Step 6: Final answer
    x = 619,279.75

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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.