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Finding the Third Proportional to 7,781,716 and 12,431,465

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Solution

The third proportional to 7,781,716 and 12,431,465 is: 19,859,542.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,781,716 : 12,431,465 = 12,431,465 : x
  2. Step 2: Convert to fraction form
    7,781,716/12,431,465 = 12,431,465/x
  3. Step 3: Cross multiply
    7,781,716x = 12,431,465 × 12,431,465
  4. Step 4: Simplify right side
    7,781,716x = 154,541,322,046,225
  5. Step 5: Solve for x
    x = 154,541,322,046,225/7,781,716
  6. Step 6: Final answer
    x = 19,859,542.81

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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.