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Finding the Third Proportional to 145,607.25 and 311,454.75

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Solution

The third proportional to 145,607.25 and 311,454.75 is: 666,203.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,607.25 : 311,454.75 = 311,454.75 : x
  2. Step 2: Convert to fraction form
    145,607.25/311,454.75 = 311,454.75/x
  3. Step 3: Cross multiply
    145,607.25x = 311,454.75 × 311,454.75
  4. Step 4: Simplify right side
    145,607.25x = 97,004,061,297.56
  5. Step 5: Solve for x
    x = 97,004,061,297.56/145,607.25
  6. Step 6: Final answer
    x = 666,203.51

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.