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Finding the Third Proportional to 7,000,289 and 10,981,387

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Solution

The third proportional to 7,000,289 and 10,981,387 is: 17,226,554.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,000,289 : 10,981,387 = 10,981,387 : x
  2. Step 2: Convert to fraction form
    7,000,289/10,981,387 = 10,981,387/x
  3. Step 3: Cross multiply
    7,000,289x = 10,981,387 × 10,981,387
  4. Step 4: Simplify right side
    7,000,289x = 120,590,860,443,769
  5. Step 5: Solve for x
    x = 120,590,860,443,769/7,000,289
  6. Step 6: Final answer
    x = 17,226,554.57

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.