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Finding the Third Proportional to 142,202 and 305,140

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Solution

The third proportional to 142,202 and 305,140 is: 654,775.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,202 : 305,140 = 305,140 : x
  2. Step 2: Convert to fraction form
    142,202/305,140 = 305,140/x
  3. Step 3: Cross multiply
    142,202x = 305,140 × 305,140
  4. Step 4: Simplify right side
    142,202x = 93,110,419,600
  5. Step 5: Solve for x
    x = 93,110,419,600/142,202
  6. Step 6: Final answer
    x = 654,775.74

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.