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Finding the Third Proportional to 505,952 and 769,289

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Solution

The third proportional to 505,952 and 769,289 is: 1,169,687.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,952 : 769,289 = 769,289 : x
  2. Step 2: Convert to fraction form
    505,952/769,289 = 769,289/x
  3. Step 3: Cross multiply
    505,952x = 769,289 × 769,289
  4. Step 4: Simplify right side
    505,952x = 591,805,565,521
  5. Step 5: Solve for x
    x = 591,805,565,521/505,952
  6. Step 6: Final answer
    x = 1,169,687.17

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.