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Finding the Third Proportional to 289,147 and 626,561

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Solution

The third proportional to 289,147 and 626,561 is: 1,357,713.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,147 : 626,561 = 626,561 : x
  2. Step 2: Convert to fraction form
    289,147/626,561 = 626,561/x
  3. Step 3: Cross multiply
    289,147x = 626,561 × 626,561
  4. Step 4: Simplify right side
    289,147x = 392,578,686,721
  5. Step 5: Solve for x
    x = 392,578,686,721/289,147
  6. Step 6: Final answer
    x = 1,357,713.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.