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Finding the Third Proportional to 7,817,434 and 11,787,670

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Solution

The third proportional to 7,817,434 and 11,787,670 is: 17,774,267.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,817,434 : 11,787,670 = 11,787,670 : x
  2. Step 2: Convert to fraction form
    7,817,434/11,787,670 = 11,787,670/x
  3. Step 3: Cross multiply
    7,817,434x = 11,787,670 × 11,787,670
  4. Step 4: Simplify right side
    7,817,434x = 138,949,164,028,900
  5. Step 5: Solve for x
    x = 138,949,164,028,900/7,817,434
  6. Step 6: Final answer
    x = 17,774,267.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.