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Finding the Third Proportional to 316,793 and 689,355

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Solution

The third proportional to 316,793 and 689,355 is: 1,500,065.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,793 : 689,355 = 689,355 : x
  2. Step 2: Convert to fraction form
    316,793/689,355 = 689,355/x
  3. Step 3: Cross multiply
    316,793x = 689,355 × 689,355
  4. Step 4: Simplify right side
    316,793x = 475,210,316,025
  5. Step 5: Solve for x
    x = 475,210,316,025/316,793
  6. Step 6: Final answer
    x = 1,500,065.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.