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Finding the Third Proportional to 145,397.25 and 317,796.75

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Solution

The third proportional to 145,397.25 and 317,796.75 is: 694,612.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,397.25 : 317,796.75 = 317,796.75 : x
  2. Step 2: Convert to fraction form
    145,397.25/317,796.75 = 317,796.75/x
  3. Step 3: Cross multiply
    145,397.25x = 317,796.75 × 317,796.75
  4. Step 4: Simplify right side
    145,397.25x = 100,994,774,310.56
  5. Step 5: Solve for x
    x = 100,994,774,310.56/145,397.25
  6. Step 6: Final answer
    x = 694,612.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.