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Finding the Third Proportional to 7,447,409 and 11,387,721

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Solution

The third proportional to 7,447,409 and 11,387,721 is: 17,412,792.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,447,409 : 11,387,721 = 11,387,721 : x
  2. Step 2: Convert to fraction form
    7,447,409/11,387,721 = 11,387,721/x
  3. Step 3: Cross multiply
    7,447,409x = 11,387,721 × 11,387,721
  4. Step 4: Simplify right side
    7,447,409x = 129,680,189,573,841
  5. Step 5: Solve for x
    x = 129,680,189,573,841/7,447,409
  6. Step 6: Final answer
    x = 17,412,792.77

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.