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Finding the Third Proportional to 7,872,736.78 and 12,323,350.13

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Solution

The third proportional to 7,872,736.78 and 12,323,350.13 is: 19,289,982.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,872,736.78 : 12,323,350.13 = 12,323,350.13 : x
  2. Step 2: Convert to fraction form
    7,872,736.78/12,323,350.13 = 12,323,350.13/x
  3. Step 3: Cross multiply
    7,872,736.78x = 12,323,350.13 × 12,323,350.13
  4. Step 4: Simplify right side
    7,872,736.78x = 151,864,958,303,337.50
  5. Step 5: Solve for x
    x = 151,864,958,303,337.50/7,872,736.78
  6. Step 6: Final answer
    x = 19,289,982.95

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.