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Finding the Third Proportional to 313,598 and 689,623

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Solution

The third proportional to 313,598 and 689,623 is: 1,516,527.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,598 : 689,623 = 689,623 : x
  2. Step 2: Convert to fraction form
    313,598/689,623 = 689,623/x
  3. Step 3: Cross multiply
    313,598x = 689,623 × 689,623
  4. Step 4: Simplify right side
    313,598x = 475,579,882,129
  5. Step 5: Solve for x
    x = 475,579,882,129/313,598
  6. Step 6: Final answer
    x = 1,516,527.15

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.