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Finding the Third Proportional to 7,754,286.94 and 12,878,885.25

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Solution

The third proportional to 7,754,286.94 and 12,878,885.25 is: 21,390,191.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,754,286.94 : 12,878,885.25 = 12,878,885.25 : x
  2. Step 2: Convert to fraction form
    7,754,286.94/12,878,885.25 = 12,878,885.25/x
  3. Step 3: Cross multiply
    7,754,286.94x = 12,878,885.25 × 12,878,885.25
  4. Step 4: Simplify right side
    7,754,286.94x = 165,865,685,282,667.56
  5. Step 5: Solve for x
    x = 165,865,685,282,667.56/7,754,286.94
  6. Step 6: Final answer
    x = 21,390,191.85

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.