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Finding the Third Proportional to 239,907 and 358,539

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Solution

The third proportional to 239,907 and 358,539 is: 535,833.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,907 : 358,539 = 358,539 : x
  2. Step 2: Convert to fraction form
    239,907/358,539 = 358,539/x
  3. Step 3: Cross multiply
    239,907x = 358,539 × 358,539
  4. Step 4: Simplify right side
    239,907x = 128,550,214,521
  5. Step 5: Solve for x
    x = 128,550,214,521/239,907
  6. Step 6: Final answer
    x = 535,833.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.