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Finding the Third Proportional to 221,447.25 and 343,838.25

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Solution

The third proportional to 221,447.25 and 343,838.25 is: 533,873.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,447.25 : 343,838.25 = 343,838.25 : x
  2. Step 2: Convert to fraction form
    221,447.25/343,838.25 = 343,838.25/x
  3. Step 3: Cross multiply
    221,447.25x = 343,838.25 × 343,838.25
  4. Step 4: Simplify right side
    221,447.25x = 118,224,742,163.06
  5. Step 5: Solve for x
    x = 118,224,742,163.06/221,447.25
  6. Step 6: Final answer
    x = 533,873.16

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.