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Finding the Third Proportional to 359,844 and 769,509

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Solution

The third proportional to 359,844 and 769,509 is: 1,645,557.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,844 : 769,509 = 769,509 : x
  2. Step 2: Convert to fraction form
    359,844/769,509 = 769,509/x
  3. Step 3: Cross multiply
    359,844x = 769,509 × 769,509
  4. Step 4: Simplify right side
    359,844x = 592,144,101,081
  5. Step 5: Solve for x
    x = 592,144,101,081/359,844
  6. Step 6: Final answer
    x = 1,645,557.80

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.