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Finding the Third Proportional to 239,405 and 514,091

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Solution

The third proportional to 239,405 and 514,091 is: 1,103,943.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,405 : 514,091 = 514,091 : x
  2. Step 2: Convert to fraction form
    239,405/514,091 = 514,091/x
  3. Step 3: Cross multiply
    239,405x = 514,091 × 514,091
  4. Step 4: Simplify right side
    239,405x = 264,289,556,281
  5. Step 5: Solve for x
    x = 264,289,556,281/239,405
  6. Step 6: Final answer
    x = 1,103,943.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.