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Finding the Third Proportional to 359,721 and 777,078

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Solution

The third proportional to 359,721 and 777,078 is: 1,678,662.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,721 : 777,078 = 777,078 : x
  2. Step 2: Convert to fraction form
    359,721/777,078 = 777,078/x
  3. Step 3: Cross multiply
    359,721x = 777,078 × 777,078
  4. Step 4: Simplify right side
    359,721x = 603,850,218,084
  5. Step 5: Solve for x
    x = 603,850,218,084/359,721
  6. Step 6: Final answer
    x = 1,678,662.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.