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Finding the Third Proportional to 317,396.25 and 430,577.44

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Solution

The third proportional to 317,396.25 and 430,577.44 is: 584,118.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,396.25 : 430,577.44 = 430,577.44 : x
  2. Step 2: Convert to fraction form
    317,396.25/430,577.44 = 430,577.44/x
  3. Step 3: Cross multiply
    317,396.25x = 430,577.44 × 430,577.44
  4. Step 4: Simplify right side
    317,396.25x = 185,396,929,684.07
  5. Step 5: Solve for x
    x = 185,396,929,684.07/317,396.25
  6. Step 6: Final answer
    x = 584,118.21

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.