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Finding the Third Proportional to 72,858 and 157,200

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Solution

The third proportional to 72,858 and 157,200 is: 339,178.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,858 : 157,200 = 157,200 : x
  2. Step 2: Convert to fraction form
    72,858/157,200 = 157,200/x
  3. Step 3: Cross multiply
    72,858x = 157,200 × 157,200
  4. Step 4: Simplify right side
    72,858x = 24,711,840,000
  5. Step 5: Solve for x
    x = 24,711,840,000/72,858
  6. Step 6: Final answer
    x = 339,178.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.