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Finding the Third Proportional to 359,746 and 519,728

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Solution

The third proportional to 359,746 and 519,728 is: 750,855.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,746 : 519,728 = 519,728 : x
  2. Step 2: Convert to fraction form
    359,746/519,728 = 519,728/x
  3. Step 3: Cross multiply
    359,746x = 519,728 × 519,728
  4. Step 4: Simplify right side
    359,746x = 270,117,193,984
  5. Step 5: Solve for x
    x = 270,117,193,984/359,746
  6. Step 6: Final answer
    x = 750,855.31

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.