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Finding the Third Proportional to 63,788 and 139,670

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Solution

The third proportional to 63,788 and 139,670 is: 305,820.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,788 : 139,670 = 139,670 : x
  2. Step 2: Convert to fraction form
    63,788/139,670 = 139,670/x
  3. Step 3: Cross multiply
    63,788x = 139,670 × 139,670
  4. Step 4: Simplify right side
    63,788x = 19,507,708,900
  5. Step 5: Solve for x
    x = 19,507,708,900/63,788
  6. Step 6: Final answer
    x = 305,820.98

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