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Finding the Third Proportional to 72,121.50 and 157,365

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Solution

The third proportional to 72,121.50 and 157,365 is: 343,361.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,121.50 : 157,365 = 157,365 : x
  2. Step 2: Convert to fraction form
    72,121.50/157,365 = 157,365/x
  3. Step 3: Cross multiply
    72,121.50x = 157,365 × 157,365
  4. Step 4: Simplify right side
    72,121.50x = 24,763,743,225
  5. Step 5: Solve for x
    x = 24,763,743,225/72,121.50
  6. Step 6: Final answer
    x = 343,361.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.