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Finding the Third Proportional to 128,174.63 and 280,953

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Solution

The third proportional to 128,174.63 and 280,953 is: 615,836.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,174.63 : 280,953 = 280,953 : x
  2. Step 2: Convert to fraction form
    128,174.63/280,953 = 280,953/x
  3. Step 3: Cross multiply
    128,174.63x = 280,953 × 280,953
  4. Step 4: Simplify right side
    128,174.63x = 78,934,588,209
  5. Step 5: Solve for x
    x = 78,934,588,209/128,174.63
  6. Step 6: Final answer
    x = 615,836.31

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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.