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Finding the Third Proportional to 390,121.50 and 835,539

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Solution

The third proportional to 390,121.50 and 835,539 is: 1,789,507.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,121.50 : 835,539 = 835,539 : x
  2. Step 2: Convert to fraction form
    390,121.50/835,539 = 835,539/x
  3. Step 3: Cross multiply
    390,121.50x = 835,539 × 835,539
  4. Step 4: Simplify right side
    390,121.50x = 698,125,420,521
  5. Step 5: Solve for x
    x = 698,125,420,521/390,121.50
  6. Step 6: Final answer
    x = 1,789,507.68

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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.