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Finding the Third Proportional to 72,441 and 153,603

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Solution

The third proportional to 72,441 and 153,603 is: 325,697.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,441 : 153,603 = 153,603 : x
  2. Step 2: Convert to fraction form
    72,441/153,603 = 153,603/x
  3. Step 3: Cross multiply
    72,441x = 153,603 × 153,603
  4. Step 4: Simplify right side
    72,441x = 23,593,881,609
  5. Step 5: Solve for x
    x = 23,593,881,609/72,441
  6. Step 6: Final answer
    x = 325,697.90

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.