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Finding the Third Proportional to 72,972 and 155,358

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Solution

The third proportional to 72,972 and 155,358 is: 330,758.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,972 : 155,358 = 155,358 : x
  2. Step 2: Convert to fraction form
    72,972/155,358 = 155,358/x
  3. Step 3: Cross multiply
    72,972x = 155,358 × 155,358
  4. Step 4: Simplify right side
    72,972x = 24,136,108,164
  5. Step 5: Solve for x
    x = 24,136,108,164/72,972
  6. Step 6: Final answer
    x = 330,758.48

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.