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Finding the Third Proportional to 499,840 and 799,434

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Solution

The third proportional to 499,840 and 799,434 is: 1,278,598.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,840 : 799,434 = 799,434 : x
  2. Step 2: Convert to fraction form
    499,840/799,434 = 799,434/x
  3. Step 3: Cross multiply
    499,840x = 799,434 × 799,434
  4. Step 4: Simplify right side
    499,840x = 639,094,720,356
  5. Step 5: Solve for x
    x = 639,094,720,356/499,840
  6. Step 6: Final answer
    x = 1,278,598.59

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.