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Finding the Third Proportional to 276,023.50 and 415,417

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Solution

The third proportional to 276,023.50 and 415,417 is: 625,205.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,023.50 : 415,417 = 415,417 : x
  2. Step 2: Convert to fraction form
    276,023.50/415,417 = 415,417/x
  3. Step 3: Cross multiply
    276,023.50x = 415,417 × 415,417
  4. Step 4: Simplify right side
    276,023.50x = 172,571,283,889
  5. Step 5: Solve for x
    x = 172,571,283,889/276,023.50
  6. Step 6: Final answer
    x = 625,205.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.