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Finding the Third Proportional to 7,781,674 and 12,431,391

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Solution

The third proportional to 7,781,674 and 12,431,391 is: 19,859,413.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,781,674 : 12,431,391 = 12,431,391 : x
  2. Step 2: Convert to fraction form
    7,781,674/12,431,391 = 12,431,391/x
  3. Step 3: Cross multiply
    7,781,674x = 12,431,391 × 12,431,391
  4. Step 4: Simplify right side
    7,781,674x = 154,539,482,194,881
  5. Step 5: Solve for x
    x = 154,539,482,194,881/7,781,674
  6. Step 6: Final answer
    x = 19,859,413.57

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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.