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Finding the Third Proportional to 62,783 and 137,959

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Solution

The third proportional to 62,783 and 137,959 is: 303,150.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,783 : 137,959 = 137,959 : x
  2. Step 2: Convert to fraction form
    62,783/137,959 = 137,959/x
  3. Step 3: Cross multiply
    62,783x = 137,959 × 137,959
  4. Step 4: Simplify right side
    62,783x = 19,032,685,681
  5. Step 5: Solve for x
    x = 19,032,685,681/62,783
  6. Step 6: Final answer
    x = 303,150.31

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.