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Finding the Third Proportional to 142,197 and 301,890

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Solution

The third proportional to 142,197 and 301,890 is: 640,924.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,197 : 301,890 = 301,890 : x
  2. Step 2: Convert to fraction form
    142,197/301,890 = 301,890/x
  3. Step 3: Cross multiply
    142,197x = 301,890 × 301,890
  4. Step 4: Simplify right side
    142,197x = 91,137,572,100
  5. Step 5: Solve for x
    x = 91,137,572,100/142,197
  6. Step 6: Final answer
    x = 640,924.72

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.