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Finding the Third Proportional to 72,810.25 and 155,742.75

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Solution

The third proportional to 72,810.25 and 155,742.75 is: 333,137.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,810.25 : 155,742.75 = 155,742.75 : x
  2. Step 2: Convert to fraction form
    72,810.25/155,742.75 = 155,742.75/x
  3. Step 3: Cross multiply
    72,810.25x = 155,742.75 × 155,742.75
  4. Step 4: Simplify right side
    72,810.25x = 24,255,804,177.56
  5. Step 5: Solve for x
    x = 24,255,804,177.56/72,810.25
  6. Step 6: Final answer
    x = 333,137.22

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.