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Finding the Third Proportional to 63,215 and 139,159

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Solution

The third proportional to 63,215 and 139,159 is: 306,339.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,215 : 139,159 = 139,159 : x
  2. Step 2: Convert to fraction form
    63,215/139,159 = 139,159/x
  3. Step 3: Cross multiply
    63,215x = 139,159 × 139,159
  4. Step 4: Simplify right side
    63,215x = 19,365,227,281
  5. Step 5: Solve for x
    x = 19,365,227,281/63,215
  6. Step 6: Final answer
    x = 306,339.12

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.