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Finding the Third Proportional to 436,420.50 and 677,331

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Solution

The third proportional to 436,420.50 and 677,331 is: 1,051,227.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,420.50 : 677,331 = 677,331 : x
  2. Step 2: Convert to fraction form
    436,420.50/677,331 = 677,331/x
  3. Step 3: Cross multiply
    436,420.50x = 677,331 × 677,331
  4. Step 4: Simplify right side
    436,420.50x = 458,777,283,561
  5. Step 5: Solve for x
    x = 458,777,283,561/436,420.50
  6. Step 6: Final answer
    x = 1,051,227.62

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.