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Finding the Third Proportional to 317,676.25 and 697,560.50

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Solution

The third proportional to 317,676.25 and 697,560.50 is: 1,531,718.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,676.25 : 697,560.50 = 697,560.50 : x
  2. Step 2: Convert to fraction form
    317,676.25/697,560.50 = 697,560.50/x
  3. Step 3: Cross multiply
    317,676.25x = 697,560.50 × 697,560.50
  4. Step 4: Simplify right side
    317,676.25x = 486,590,651,160.25
  5. Step 5: Solve for x
    x = 486,590,651,160.25/317,676.25
  6. Step 6: Final answer
    x = 1,531,718.70

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.