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Finding the Third Proportional to 500,420 and 774,566

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Solution

The third proportional to 500,420 and 774,566 is: 1,198,897.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,420 : 774,566 = 774,566 : x
  2. Step 2: Convert to fraction form
    500,420/774,566 = 774,566/x
  3. Step 3: Cross multiply
    500,420x = 774,566 × 774,566
  4. Step 4: Simplify right side
    500,420x = 599,952,488,356
  5. Step 5: Solve for x
    x = 599,952,488,356/500,420
  6. Step 6: Final answer
    x = 1,198,897.90

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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.