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Finding the Third Proportional to 486,550 and 774,796

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Solution

The third proportional to 486,550 and 774,796 is: 1,233,807.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,550 : 774,796 = 774,796 : x
  2. Step 2: Convert to fraction form
    486,550/774,796 = 774,796/x
  3. Step 3: Cross multiply
    486,550x = 774,796 × 774,796
  4. Step 4: Simplify right side
    486,550x = 600,308,841,616
  5. Step 5: Solve for x
    x = 600,308,841,616/486,550
  6. Step 6: Final answer
    x = 1,233,807.09

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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.