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Finding the Third Proportional to 317,220 and 689,736

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Solution

The third proportional to 317,220 and 689,736 is: 1,499,702.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,220 : 689,736 = 689,736 : x
  2. Step 2: Convert to fraction form
    317,220/689,736 = 689,736/x
  3. Step 3: Cross multiply
    317,220x = 689,736 × 689,736
  4. Step 4: Simplify right side
    317,220x = 475,735,749,696
  5. Step 5: Solve for x
    x = 475,735,749,696/317,220
  6. Step 6: Final answer
    x = 1,499,702.89

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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.