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Finding the Third Proportional to 7,970,998 and 12,689,548

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Solution

The third proportional to 7,970,998 and 12,689,548 is: 20,201,313.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,970,998 : 12,689,548 = 12,689,548 : x
  2. Step 2: Convert to fraction form
    7,970,998/12,689,548 = 12,689,548/x
  3. Step 3: Cross multiply
    7,970,998x = 12,689,548 × 12,689,548
  4. Step 4: Simplify right side
    7,970,998x = 161,024,628,444,304
  5. Step 5: Solve for x
    x = 161,024,628,444,304/7,970,998
  6. Step 6: Final answer
    x = 20,201,313.37

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.