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Finding the Third Proportional to 7,857,240 and 12,122,301

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Solution

The third proportional to 7,857,240 and 12,122,301 is: 18,702,519.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,857,240 : 12,122,301 = 12,122,301 : x
  2. Step 2: Convert to fraction form
    7,857,240/12,122,301 = 12,122,301/x
  3. Step 3: Cross multiply
    7,857,240x = 12,122,301 × 12,122,301
  4. Step 4: Simplify right side
    7,857,240x = 146,950,181,534,601
  5. Step 5: Solve for x
    x = 146,950,181,534,601/7,857,240
  6. Step 6: Final answer
    x = 18,702,519.15

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.