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Finding the Third Proportional to 7,866,489 and 17,117,349

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Solution

The third proportional to 7,866,489 and 17,117,349 is: 37,247,066.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,866,489 : 17,117,349 = 17,117,349 : x
  2. Step 2: Convert to fraction form
    7,866,489/17,117,349 = 17,117,349/x
  3. Step 3: Cross multiply
    7,866,489x = 17,117,349 × 17,117,349
  4. Step 4: Simplify right side
    7,866,489x = 293,003,636,787,801
  5. Step 5: Solve for x
    x = 293,003,636,787,801/7,866,489
  6. Step 6: Final answer
    x = 37,247,066.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.