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Finding the Third Proportional to 285,079.50 and 612,279

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Solution

The third proportional to 285,079.50 and 612,279 is: 1,315,021.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,079.50 : 612,279 = 612,279 : x
  2. Step 2: Convert to fraction form
    285,079.50/612,279 = 612,279/x
  3. Step 3: Cross multiply
    285,079.50x = 612,279 × 612,279
  4. Step 4: Simplify right side
    285,079.50x = 374,885,573,841
  5. Step 5: Solve for x
    x = 374,885,573,841/285,079.50
  6. Step 6: Final answer
    x = 1,315,021.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.