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Finding the Third Proportional to 243,039 and 501,621

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Solution

The third proportional to 243,039 and 501,621 is: 1,035,322.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,039 : 501,621 = 501,621 : x
  2. Step 2: Convert to fraction form
    243,039/501,621 = 501,621/x
  3. Step 3: Cross multiply
    243,039x = 501,621 × 501,621
  4. Step 4: Simplify right side
    243,039x = 251,623,627,641
  5. Step 5: Solve for x
    x = 251,623,627,641/243,039
  6. Step 6: Final answer
    x = 1,035,322.02

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.