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Finding the Third Proportional to 7,781,690 and 12,431,415

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Solution

The third proportional to 7,781,690 and 12,431,415 is: 19,859,449.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,781,690 : 12,431,415 = 12,431,415 : x
  2. Step 2: Convert to fraction form
    7,781,690/12,431,415 = 12,431,415/x
  3. Step 3: Cross multiply
    7,781,690x = 12,431,415 × 12,431,415
  4. Step 4: Simplify right side
    7,781,690x = 154,540,078,902,225
  5. Step 5: Solve for x
    x = 154,540,078,902,225/7,781,690
  6. Step 6: Final answer
    x = 19,859,449.41

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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.