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Finding the Third Proportional to 243,963 and 528,648

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Solution

The third proportional to 243,963 and 528,648 is: 1,145,537.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,963 : 528,648 = 528,648 : x
  2. Step 2: Convert to fraction form
    243,963/528,648 = 528,648/x
  3. Step 3: Cross multiply
    243,963x = 528,648 × 528,648
  4. Step 4: Simplify right side
    243,963x = 279,468,707,904
  5. Step 5: Solve for x
    x = 279,468,707,904/243,963
  6. Step 6: Final answer
    x = 1,145,537.27

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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.