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Finding the Third Proportional to 1,688,508 and 3,613,203

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Solution

The third proportional to 1,688,508 and 3,613,203 is: 7,731,817.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,688,508 : 3,613,203 = 3,613,203 : x
  2. Step 2: Convert to fraction form
    1,688,508/3,613,203 = 3,613,203/x
  3. Step 3: Cross multiply
    1,688,508x = 3,613,203 × 3,613,203
  4. Step 4: Simplify right side
    1,688,508x = 13,055,235,919,209
  5. Step 5: Solve for x
    x = 13,055,235,919,209/1,688,508
  6. Step 6: Final answer
    x = 7,731,817.63

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.