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Finding the Third Proportional to 499,836 and 799,428

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Solution

The third proportional to 499,836 and 799,428 is: 1,278,589.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,836 : 799,428 = 799,428 : x
  2. Step 2: Convert to fraction form
    499,836/799,428 = 799,428/x
  3. Step 3: Cross multiply
    499,836x = 799,428 × 799,428
  4. Step 4: Simplify right side
    499,836x = 639,085,127,184
  5. Step 5: Solve for x
    x = 639,085,127,184/499,836
  6. Step 6: Final answer
    x = 1,278,589.63

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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.