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Finding the Third Proportional to 7,817,568.50 and 11,787,870

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Solution

The third proportional to 7,817,568.50 and 11,787,870 is: 17,774,564.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,817,568.50 : 11,787,870 = 11,787,870 : x
  2. Step 2: Convert to fraction form
    7,817,568.50/11,787,870 = 11,787,870/x
  3. Step 3: Cross multiply
    7,817,568.50x = 11,787,870 × 11,787,870
  4. Step 4: Simplify right side
    7,817,568.50x = 138,953,879,136,900
  5. Step 5: Solve for x
    x = 138,953,879,136,900/7,817,568.50
  6. Step 6: Final answer
    x = 17,774,564.96

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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.