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Finding the Third Proportional to 72,972.75 and 157,200.75

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Solution

The third proportional to 72,972.75 and 157,200.75 is: 338,648.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,972.75 : 157,200.75 = 157,200.75 : x
  2. Step 2: Convert to fraction form
    72,972.75/157,200.75 = 157,200.75/x
  3. Step 3: Cross multiply
    72,972.75x = 157,200.75 × 157,200.75
  4. Step 4: Simplify right side
    72,972.75x = 24,712,075,800.56
  5. Step 5: Solve for x
    x = 24,712,075,800.56/72,972.75
  6. Step 6: Final answer
    x = 338,648.00

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.