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Finding the Third Proportional to 141,820 and 299,132

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Solution

The third proportional to 141,820 and 299,132 is: 630,940.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,820 : 299,132 = 299,132 : x
  2. Step 2: Convert to fraction form
    141,820/299,132 = 299,132/x
  3. Step 3: Cross multiply
    141,820x = 299,132 × 299,132
  4. Step 4: Simplify right side
    141,820x = 89,479,953,424
  5. Step 5: Solve for x
    x = 89,479,953,424/141,820
  6. Step 6: Final answer
    x = 630,940.30

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.