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Finding the Third Proportional to 313,516 and 685,928

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Solution

The third proportional to 313,516 and 685,928 is: 1,500,711.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,516 : 685,928 = 685,928 : x
  2. Step 2: Convert to fraction form
    313,516/685,928 = 685,928/x
  3. Step 3: Cross multiply
    313,516x = 685,928 × 685,928
  4. Step 4: Simplify right side
    313,516x = 470,497,221,184
  5. Step 5: Solve for x
    x = 470,497,221,184/313,516
  6. Step 6: Final answer
    x = 1,500,711.99

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.