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Finding the Third Proportional to 486,364 and 776,973

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Solution

The third proportional to 486,364 and 776,973 is: 1,241,224.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,364 : 776,973 = 776,973 : x
  2. Step 2: Convert to fraction form
    486,364/776,973 = 776,973/x
  3. Step 3: Cross multiply
    486,364x = 776,973 × 776,973
  4. Step 4: Simplify right side
    486,364x = 603,687,042,729
  5. Step 5: Solve for x
    x = 603,687,042,729/486,364
  6. Step 6: Final answer
    x = 1,241,224.77

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.