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Finding the Third Proportional to 429,603 and 631,251

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Solution

The third proportional to 429,603 and 631,251 is: 927,548.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,603 : 631,251 = 631,251 : x
  2. Step 2: Convert to fraction form
    429,603/631,251 = 631,251/x
  3. Step 3: Cross multiply
    429,603x = 631,251 × 631,251
  4. Step 4: Simplify right side
    429,603x = 398,477,825,001
  5. Step 5: Solve for x
    x = 398,477,825,001/429,603
  6. Step 6: Final answer
    x = 927,548.98

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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.