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Finding the Third Proportional to 141,142 and 219,489

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Solution

The third proportional to 141,142 and 219,489 is: 341,325.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,142 : 219,489 = 219,489 : x
  2. Step 2: Convert to fraction form
    141,142/219,489 = 219,489/x
  3. Step 3: Cross multiply
    141,142x = 219,489 × 219,489
  4. Step 4: Simplify right side
    141,142x = 48,175,421,121
  5. Step 5: Solve for x
    x = 48,175,421,121/141,142
  6. Step 6: Final answer
    x = 341,325.91

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.