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Finding the Third Proportional to 511,620 and 767,430

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Solution

The third proportional to 511,620 and 767,430 is: 1,151,145

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,620 : 767,430 = 767,430 : x
  2. Step 2: Convert to fraction form
    511,620/767,430 = 767,430/x
  3. Step 3: Cross multiply
    511,620x = 767,430 × 767,430
  4. Step 4: Simplify right side
    511,620x = 588,948,804,900
  5. Step 5: Solve for x
    x = 588,948,804,900/511,620
  6. Step 6: Final answer
    x = 1,151,145

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.