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Finding the Third Proportional to 539,420 and 777,018

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Solution

The third proportional to 539,420 and 777,018 is: 1,119,270.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,420 : 777,018 = 777,018 : x
  2. Step 2: Convert to fraction form
    539,420/777,018 = 777,018/x
  3. Step 3: Cross multiply
    539,420x = 777,018 × 777,018
  4. Step 4: Simplify right side
    539,420x = 603,756,972,324
  5. Step 5: Solve for x
    x = 603,756,972,324/539,420
  6. Step 6: Final answer
    x = 1,119,270.65

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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.