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Finding the Third Proportional to 73,710 and 173,124

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Solution

The third proportional to 73,710 and 173,124 is: 406,619.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,710 : 173,124 = 173,124 : x
  2. Step 2: Convert to fraction form
    73,710/173,124 = 173,124/x
  3. Step 3: Cross multiply
    73,710x = 173,124 × 173,124
  4. Step 4: Simplify right side
    73,710x = 29,971,919,376
  5. Step 5: Solve for x
    x = 29,971,919,376/73,710
  6. Step 6: Final answer
    x = 406,619.45

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.