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Finding the Third Proportional to 281,319.96 and 615,999.30

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Solution

The third proportional to 281,319.96 and 615,999.30 is: 1,348,838.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,319.96 : 615,999.30 = 615,999.30 : x
  2. Step 2: Convert to fraction form
    281,319.96/615,999.30 = 615,999.30/x
  3. Step 3: Cross multiply
    281,319.96x = 615,999.30 × 615,999.30
  4. Step 4: Simplify right side
    281,319.96x = 379,455,143,375.51
  5. Step 5: Solve for x
    x = 379,455,143,375.51/281,319.96
  6. Step 6: Final answer
    x = 1,348,838.32

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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.