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Finding the Third Proportional to 144,429 and 217,089

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Solution

The third proportional to 144,429 and 217,089 is: 326,303.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,429 : 217,089 = 217,089 : x
  2. Step 2: Convert to fraction form
    144,429/217,089 = 217,089/x
  3. Step 3: Cross multiply
    144,429x = 217,089 × 217,089
  4. Step 4: Simplify right side
    144,429x = 47,127,633,921
  5. Step 5: Solve for x
    x = 47,127,633,921/144,429
  6. Step 6: Final answer
    x = 326,303.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.