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Finding the Third Proportional to 141,818 and 299,128

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Solution

The third proportional to 141,818 and 299,128 is: 630,932.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,818 : 299,128 = 299,128 : x
  2. Step 2: Convert to fraction form
    141,818/299,128 = 299,128/x
  3. Step 3: Cross multiply
    141,818x = 299,128 × 299,128
  4. Step 4: Simplify right side
    141,818x = 89,477,560,384
  5. Step 5: Solve for x
    x = 89,477,560,384/141,818
  6. Step 6: Final answer
    x = 630,932.32

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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.