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Finding the Third Proportional to 12,767,971.78 and 17,915,998.92

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Solution

The third proportional to 12,767,971.78 and 17,915,998.92 is: 25,139,702.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,767,971.78 : 17,915,998.92 = 17,915,998.92 : x
  2. Step 2: Convert to fraction form
    12,767,971.78/17,915,998.92 = 17,915,998.92/x
  3. Step 3: Cross multiply
    12,767,971.78x = 17,915,998.92 × 17,915,998.92
  4. Step 4: Simplify right side
    12,767,971.78x = 320,983,017,368,626.19
  5. Step 5: Solve for x
    x = 320,983,017,368,626.19/12,767,971.78
  6. Step 6: Final answer
    x = 25,139,702.91

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.