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Finding the Third Proportional to 436,638 and 656,574

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Solution

The third proportional to 436,638 and 656,574 is: 987,292.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,638 : 656,574 = 656,574 : x
  2. Step 2: Convert to fraction form
    436,638/656,574 = 656,574/x
  3. Step 3: Cross multiply
    436,638x = 656,574 × 656,574
  4. Step 4: Simplify right side
    436,638x = 431,089,417,476
  5. Step 5: Solve for x
    x = 431,089,417,476/436,638
  6. Step 6: Final answer
    x = 987,292.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.