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Finding the Third Proportional to 239,990 and 514,135

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Solution

The third proportional to 239,990 and 514,135 is: 1,101,440.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,990 : 514,135 = 514,135 : x
  2. Step 2: Convert to fraction form
    239,990/514,135 = 514,135/x
  3. Step 3: Cross multiply
    239,990x = 514,135 × 514,135
  4. Step 4: Simplify right side
    239,990x = 264,334,798,225
  5. Step 5: Solve for x
    x = 264,334,798,225/239,990
  6. Step 6: Final answer
    x = 1,101,440.89

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.