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Finding the Third Proportional to 500,420 and 776,019

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Solution

The third proportional to 500,420 and 776,019 is: 1,203,400.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,420 : 776,019 = 776,019 : x
  2. Step 2: Convert to fraction form
    500,420/776,019 = 776,019/x
  3. Step 3: Cross multiply
    500,420x = 776,019 × 776,019
  4. Step 4: Simplify right side
    500,420x = 602,205,488,361
  5. Step 5: Solve for x
    x = 602,205,488,361/500,420
  6. Step 6: Final answer
    x = 1,203,400.12

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.