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Finding the Third Proportional to 64,884 and 139,893

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Solution

The third proportional to 64,884 and 139,893 is: 301,615.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,884 : 139,893 = 139,893 : x
  2. Step 2: Convert to fraction form
    64,884/139,893 = 139,893/x
  3. Step 3: Cross multiply
    64,884x = 139,893 × 139,893
  4. Step 4: Simplify right side
    64,884x = 19,570,051,449
  5. Step 5: Solve for x
    x = 19,570,051,449/64,884
  6. Step 6: Final answer
    x = 301,615.98

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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.