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Finding the Third Proportional to 137,238.75 and 291,973.50

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Solution

The third proportional to 137,238.75 and 291,973.50 is: 621,169.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,238.75 : 291,973.50 = 291,973.50 : x
  2. Step 2: Convert to fraction form
    137,238.75/291,973.50 = 291,973.50/x
  3. Step 3: Cross multiply
    137,238.75x = 291,973.50 × 291,973.50
  4. Step 4: Simplify right side
    137,238.75x = 85,248,524,702.25
  5. Step 5: Solve for x
    x = 85,248,524,702.25/137,238.75
  6. Step 6: Final answer
    x = 621,169.49

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.