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Finding the Third Proportional to 429,129.38 and 630,556.88

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Solution

The third proportional to 429,129.38 and 630,556.88 is: 926,531.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,129.38 : 630,556.88 = 630,556.88 : x
  2. Step 2: Convert to fraction form
    429,129.38/630,556.88 = 630,556.88/x
  3. Step 3: Cross multiply
    429,129.38x = 630,556.88 × 630,556.88
  4. Step 4: Simplify right side
    429,129.38x = 397,601,972,609.77
  5. Step 5: Solve for x
    x = 397,601,972,609.77/429,129.38
  6. Step 6: Final answer
    x = 926,531.71

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.