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Finding the Third Proportional to 145,200 and 311,409

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Solution

The third proportional to 145,200 and 311,409 is: 667,875.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,200 : 311,409 = 311,409 : x
  2. Step 2: Convert to fraction form
    145,200/311,409 = 311,409/x
  3. Step 3: Cross multiply
    145,200x = 311,409 × 311,409
  4. Step 4: Simplify right side
    145,200x = 96,975,565,281
  5. Step 5: Solve for x
    x = 96,975,565,281/145,200
  6. Step 6: Final answer
    x = 667,875.79

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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.