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Finding the Third Proportional to 339,811.50 and 539,851.50

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Solution

The third proportional to 339,811.50 and 539,851.50 is: 857,650.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,811.50 : 539,851.50 = 539,851.50 : x
  2. Step 2: Convert to fraction form
    339,811.50/539,851.50 = 539,851.50/x
  3. Step 3: Cross multiply
    339,811.50x = 539,851.50 × 539,851.50
  4. Step 4: Simplify right side
    339,811.50x = 291,439,642,052.25
  5. Step 5: Solve for x
    x = 291,439,642,052.25/339,811.50
  6. Step 6: Final answer
    x = 857,650.91

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.