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Finding the Third Proportional to 429,139 and 630,571

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Solution

The third proportional to 429,139 and 630,571 is: 926,552.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,139 : 630,571 = 630,571 : x
  2. Step 2: Convert to fraction form
    429,139/630,571 = 630,571/x
  3. Step 3: Cross multiply
    429,139x = 630,571 × 630,571
  4. Step 4: Simplify right side
    429,139x = 397,619,786,041
  5. Step 5: Solve for x
    x = 397,619,786,041/429,139
  6. Step 6: Final answer
    x = 926,552.44

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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.