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Finding the Third Proportional to 137,895.75 and 288,429.75

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Solution

The third proportional to 137,895.75 and 288,429.75 is: 603,294.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,895.75 : 288,429.75 = 288,429.75 : x
  2. Step 2: Convert to fraction form
    137,895.75/288,429.75 = 288,429.75/x
  3. Step 3: Cross multiply
    137,895.75x = 288,429.75 × 288,429.75
  4. Step 4: Simplify right side
    137,895.75x = 83,191,720,685.06
  5. Step 5: Solve for x
    x = 83,191,720,685.06/137,895.75
  6. Step 6: Final answer
    x = 603,294.31

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.