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Finding the Third Proportional to 359,439.75 and 769,371

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Solution

The third proportional to 359,439.75 and 769,371 is: 1,646,817.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,439.75 : 769,371 = 769,371 : x
  2. Step 2: Convert to fraction form
    359,439.75/769,371 = 769,371/x
  3. Step 3: Cross multiply
    359,439.75x = 769,371 × 769,371
  4. Step 4: Simplify right side
    359,439.75x = 591,931,735,641
  5. Step 5: Solve for x
    x = 591,931,735,641/359,439.75
  6. Step 6: Final answer
    x = 1,646,817.68

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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.