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Finding the Third Proportional to 430,784 and 939,902

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Solution

The third proportional to 430,784 and 939,902 is: 2,050,716.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,784 : 939,902 = 939,902 : x
  2. Step 2: Convert to fraction form
    430,784/939,902 = 939,902/x
  3. Step 3: Cross multiply
    430,784x = 939,902 × 939,902
  4. Step 4: Simplify right side
    430,784x = 883,415,769,604
  5. Step 5: Solve for x
    x = 883,415,769,604/430,784
  6. Step 6: Final answer
    x = 2,050,716.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.