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Finding the Third Proportional to 145,193.57 and 311,405.51

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Solution

The third proportional to 145,193.57 and 311,405.51 is: 667,890.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,193.57 : 311,405.51 = 311,405.51 : x
  2. Step 2: Convert to fraction form
    145,193.57/311,405.51 = 311,405.51/x
  3. Step 3: Cross multiply
    145,193.57x = 311,405.51 × 311,405.51
  4. Step 4: Simplify right side
    145,193.57x = 96,973,390,752.13
  5. Step 5: Solve for x
    x = 96,973,390,752.13/145,193.57
  6. Step 6: Final answer
    x = 667,890.40

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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.