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Finding the Third Proportional to 280,375.01 and 615,031.58

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Solution

The third proportional to 280,375.01 and 615,031.58 is: 1,349,135.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,375.01 : 615,031.58 = 615,031.58 : x
  2. Step 2: Convert to fraction form
    280,375.01/615,031.58 = 615,031.58/x
  3. Step 3: Cross multiply
    280,375.01x = 615,031.58 × 615,031.58
  4. Step 4: Simplify right side
    280,375.01x = 378,263,839,688.49
  5. Step 5: Solve for x
    x = 378,263,839,688.49/280,375.01
  6. Step 6: Final answer
    x = 1,349,135.34

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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.