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Finding the Third Proportional to 359,786 and 519,783

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Solution

The third proportional to 359,786 and 519,783 is: 750,930.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,786 : 519,783 = 519,783 : x
  2. Step 2: Convert to fraction form
    359,786/519,783 = 519,783/x
  3. Step 3: Cross multiply
    359,786x = 519,783 × 519,783
  4. Step 4: Simplify right side
    359,786x = 270,174,367,089
  5. Step 5: Solve for x
    x = 270,174,367,089/359,786
  6. Step 6: Final answer
    x = 750,930.74

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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.