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Finding the Third Proportional to 279.63 and 612.13

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Solution

The third proportional to 279.63 and 612.13 is: 1,340.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.63 : 612.13 = 612.13 : x
  2. Step 2: Convert to fraction form
    279.63/612.13 = 612.13/x
  3. Step 3: Cross multiply
    279.63x = 612.13 × 612.13
  4. Step 4: Simplify right side
    279.63x = 374,697.02
  5. Step 5: Solve for x
    x = 374,697.02/279.63
  6. Step 6: Final answer
    x = 1,340.00

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.