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Finding the Third Proportional to 511,166 and 790,671

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Solution

The third proportional to 511,166 and 790,671 is: 1,223,009.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,166 : 790,671 = 790,671 : x
  2. Step 2: Convert to fraction form
    511,166/790,671 = 790,671/x
  3. Step 3: Cross multiply
    511,166x = 790,671 × 790,671
  4. Step 4: Simplify right side
    511,166x = 625,160,630,241
  5. Step 5: Solve for x
    x = 625,160,630,241/511,166
  6. Step 6: Final answer
    x = 1,223,009.02

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.