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Finding the Third Proportional to 141,030 and 309,964

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Solution

The third proportional to 141,030 and 309,964 is: 681,257.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,030 : 309,964 = 309,964 : x
  2. Step 2: Convert to fraction form
    141,030/309,964 = 309,964/x
  3. Step 3: Cross multiply
    141,030x = 309,964 × 309,964
  4. Step 4: Simplify right side
    141,030x = 96,077,681,296
  5. Step 5: Solve for x
    x = 96,077,681,296/141,030
  6. Step 6: Final answer
    x = 681,257.05

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.