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Finding the Third Proportional to 72,354 and 157,772

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Solution

The third proportional to 72,354 and 157,772 is: 344,030.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,354 : 157,772 = 157,772 : x
  2. Step 2: Convert to fraction form
    72,354/157,772 = 157,772/x
  3. Step 3: Cross multiply
    72,354x = 157,772 × 157,772
  4. Step 4: Simplify right side
    72,354x = 24,892,003,984
  5. Step 5: Solve for x
    x = 24,892,003,984/72,354
  6. Step 6: Final answer
    x = 344,030.79

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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.