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Finding the Third Proportional to 317,401,265.25 and 490,245,147

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Solution

The third proportional to 317,401,265.25 and 490,245,147 is: 757,212,810.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,401,265.25 : 490,245,147 = 490,245,147 : x
  2. Step 2: Convert to fraction form
    317,401,265.25/490,245,147 = 490,245,147/x
  3. Step 3: Cross multiply
    317,401,265.25x = 490,245,147 × 490,245,147
  4. Step 4: Simplify right side
    317,401,265.25x = 240,340,304,157,051,616
  5. Step 5: Solve for x
    x = 240,340,304,157,051,616/317,401,265.25
  6. Step 6: Final answer
    x = 757,212,810.63

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.