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Finding the Third Proportional to 63,478.69 and 139,416.19

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Solution

The third proportional to 63,478.69 and 139,416.19 is: 306,195.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,478.69 : 139,416.19 = 139,416.19 : x
  2. Step 2: Convert to fraction form
    63,478.69/139,416.19 = 139,416.19/x
  3. Step 3: Cross multiply
    63,478.69x = 139,416.19 × 139,416.19
  4. Step 4: Simplify right side
    63,478.69x = 19,436,873,337.04
  5. Step 5: Solve for x
    x = 19,436,873,337.04/63,478.69
  6. Step 6: Final answer
    x = 306,195.26

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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.