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Finding the Third Proportional to 771,588 and 1,690,286

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Solution

The third proportional to 771,588 and 1,690,286 is: 3,702,839.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,588 : 1,690,286 = 1,690,286 : x
  2. Step 2: Convert to fraction form
    771,588/1,690,286 = 1,690,286/x
  3. Step 3: Cross multiply
    771,588x = 1,690,286 × 1,690,286
  4. Step 4: Simplify right side
    771,588x = 2,857,066,761,796
  5. Step 5: Solve for x
    x = 2,857,066,761,796/771,588
  6. Step 6: Final answer
    x = 3,702,839.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.