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Finding the Third Proportional to 7,781,710.50 and 12,431,454.75

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Solution

The third proportional to 7,781,710.50 and 12,431,454.75 is: 19,859,524.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,781,710.50 : 12,431,454.75 = 12,431,454.75 : x
  2. Step 2: Convert to fraction form
    7,781,710.50/12,431,454.75 = 12,431,454.75/x
  3. Step 3: Cross multiply
    7,781,710.50x = 12,431,454.75 × 12,431,454.75
  4. Step 4: Simplify right side
    7,781,710.50x = 154,541,067,201,297.56
  5. Step 5: Solve for x
    x = 154,541,067,201,297.56/7,781,710.50
  6. Step 6: Final answer
    x = 19,859,524.10

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.