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Finding the Third Proportional to 64,681.38 and 139,199

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Solution

The third proportional to 64,681.38 and 139,199 is: 299,566.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,681.38 : 139,199 = 139,199 : x
  2. Step 2: Convert to fraction form
    64,681.38/139,199 = 139,199/x
  3. Step 3: Cross multiply
    64,681.38x = 139,199 × 139,199
  4. Step 4: Simplify right side
    64,681.38x = 19,376,361,601
  5. Step 5: Solve for x
    x = 19,376,361,601/64,681.38
  6. Step 6: Final answer
    x = 299,566.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.