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Finding the Third Proportional to 486,372 and 776,986

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Solution

The third proportional to 486,372 and 776,986 is: 1,241,245.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,372 : 776,986 = 776,986 : x
  2. Step 2: Convert to fraction form
    486,372/776,986 = 776,986/x
  3. Step 3: Cross multiply
    486,372x = 776,986 × 776,986
  4. Step 4: Simplify right side
    486,372x = 603,707,244,196
  5. Step 5: Solve for x
    x = 603,707,244,196/486,372
  6. Step 6: Final answer
    x = 1,241,245.89

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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.