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Finding the Third Proportional to 531,144 and 822,420

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Solution

The third proportional to 531,144 and 822,420 is: 1,273,429.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,144 : 822,420 = 822,420 : x
  2. Step 2: Convert to fraction form
    531,144/822,420 = 822,420/x
  3. Step 3: Cross multiply
    531,144x = 822,420 × 822,420
  4. Step 4: Simplify right side
    531,144x = 676,374,656,400
  5. Step 5: Solve for x
    x = 676,374,656,400/531,144
  6. Step 6: Final answer
    x = 1,273,429.91

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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.