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Finding the Third Proportional to 72,629 and 157,318

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Solution

The third proportional to 72,629 and 157,318 is: 340,758.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,629 : 157,318 = 157,318 : x
  2. Step 2: Convert to fraction form
    72,629/157,318 = 157,318/x
  3. Step 3: Cross multiply
    72,629x = 157,318 × 157,318
  4. Step 4: Simplify right side
    72,629x = 24,748,953,124
  5. Step 5: Solve for x
    x = 24,748,953,124/72,629
  6. Step 6: Final answer
    x = 340,758.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.