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Finding the Third Proportional to 238,817 and 521,923

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Solution

The third proportional to 238,817 and 521,923 is: 1,140,637.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,817 : 521,923 = 521,923 : x
  2. Step 2: Convert to fraction form
    238,817/521,923 = 521,923/x
  3. Step 3: Cross multiply
    238,817x = 521,923 × 521,923
  4. Step 4: Simplify right side
    238,817x = 272,403,617,929
  5. Step 5: Solve for x
    x = 272,403,617,929/238,817
  6. Step 6: Final answer
    x = 1,140,637.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.