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Finding the Third Proportional to 676,983 and 1,486,821

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Solution

The third proportional to 676,983 and 1,486,821 is: 3,265,424.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,983 : 1,486,821 = 1,486,821 : x
  2. Step 2: Convert to fraction form
    676,983/1,486,821 = 1,486,821/x
  3. Step 3: Cross multiply
    676,983x = 1,486,821 × 1,486,821
  4. Step 4: Simplify right side
    676,983x = 2,210,636,686,041
  5. Step 5: Solve for x
    x = 2,210,636,686,041/676,983
  6. Step 6: Final answer
    x = 3,265,424.22

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.