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Finding the Third Proportional to 317,218 and 689,732

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Solution

The third proportional to 317,218 and 689,732 is: 1,499,694.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,218 : 689,732 = 689,732 : x
  2. Step 2: Convert to fraction form
    317,218/689,732 = 689,732/x
  3. Step 3: Cross multiply
    317,218x = 689,732 × 689,732
  4. Step 4: Simplify right side
    317,218x = 475,730,231,824
  5. Step 5: Solve for x
    x = 475,730,231,824/317,218
  6. Step 6: Final answer
    x = 1,499,694.95

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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.