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Finding the Third Proportional to 486,576 and 774,830

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Solution

The third proportional to 486,576 and 774,830 is: 1,233,849.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,576 : 774,830 = 774,830 : x
  2. Step 2: Convert to fraction form
    486,576/774,830 = 774,830/x
  3. Step 3: Cross multiply
    486,576x = 774,830 × 774,830
  4. Step 4: Simplify right side
    486,576x = 600,361,528,900
  5. Step 5: Solve for x
    x = 600,361,528,900/486,576
  6. Step 6: Final answer
    x = 1,233,849.45

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.