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Finding the Third Proportional to 486,118 and 760,839

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Solution

The third proportional to 486,118 and 760,839 is: 1,190,813.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,118 : 760,839 = 760,839 : x
  2. Step 2: Convert to fraction form
    486,118/760,839 = 760,839/x
  3. Step 3: Cross multiply
    486,118x = 760,839 × 760,839
  4. Step 4: Simplify right side
    486,118x = 578,875,983,921
  5. Step 5: Solve for x
    x = 578,875,983,921/486,118
  6. Step 6: Final answer
    x = 1,190,813.72

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.