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Finding the Third Proportional to 245,420 and 529,504

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Solution

The third proportional to 245,420 and 529,504 is: 1,142,427.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,420 : 529,504 = 529,504 : x
  2. Step 2: Convert to fraction form
    245,420/529,504 = 529,504/x
  3. Step 3: Cross multiply
    245,420x = 529,504 × 529,504
  4. Step 4: Simplify right side
    245,420x = 280,374,486,016
  5. Step 5: Solve for x
    x = 280,374,486,016/245,420
  6. Step 6: Final answer
    x = 1,142,427.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.