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Finding the Third Proportional to 142,422 and 223,409

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Solution

The third proportional to 142,422 and 223,409 is: 350,448.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,422 : 223,409 = 223,409 : x
  2. Step 2: Convert to fraction form
    142,422/223,409 = 223,409/x
  3. Step 3: Cross multiply
    142,422x = 223,409 × 223,409
  4. Step 4: Simplify right side
    142,422x = 49,911,581,281
  5. Step 5: Solve for x
    x = 49,911,581,281/142,422
  6. Step 6: Final answer
    x = 350,448.54

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.