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Finding the Third Proportional to 317,329.50 and 686,907

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Solution

The third proportional to 317,329.50 and 686,907 is: 1,486,912.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,329.50 : 686,907 = 686,907 : x
  2. Step 2: Convert to fraction form
    317,329.50/686,907 = 686,907/x
  3. Step 3: Cross multiply
    317,329.50x = 686,907 × 686,907
  4. Step 4: Simplify right side
    317,329.50x = 471,841,226,649
  5. Step 5: Solve for x
    x = 471,841,226,649/317,329.50
  6. Step 6: Final answer
    x = 1,486,912.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.