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Finding the Third Proportional to 7,972,698 and 12,368,745

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Solution

The third proportional to 7,972,698 and 12,368,745 is: 19,188,717.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,972,698 : 12,368,745 = 12,368,745 : x
  2. Step 2: Convert to fraction form
    7,972,698/12,368,745 = 12,368,745/x
  3. Step 3: Cross multiply
    7,972,698x = 12,368,745 × 12,368,745
  4. Step 4: Simplify right side
    7,972,698x = 152,985,852,875,025
  5. Step 5: Solve for x
    x = 152,985,852,875,025/7,972,698
  6. Step 6: Final answer
    x = 19,188,717.91

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.