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Finding the Third Proportional to 285,690 and 620,532

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Solution

The third proportional to 285,690 and 620,532 is: 1,347,824.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,690 : 620,532 = 620,532 : x
  2. Step 2: Convert to fraction form
    285,690/620,532 = 620,532/x
  3. Step 3: Cross multiply
    285,690x = 620,532 × 620,532
  4. Step 4: Simplify right side
    285,690x = 385,059,963,024
  5. Step 5: Solve for x
    x = 385,059,963,024/285,690
  6. Step 6: Final answer
    x = 1,347,824.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.