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Finding the Third Proportional to 220,006 and 343,148

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Solution

The third proportional to 220,006 and 343,148 is: 535,215.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,006 : 343,148 = 343,148 : x
  2. Step 2: Convert to fraction form
    220,006/343,148 = 343,148/x
  3. Step 3: Cross multiply
    220,006x = 343,148 × 343,148
  4. Step 4: Simplify right side
    220,006x = 117,750,549,904
  5. Step 5: Solve for x
    x = 117,750,549,904/220,006
  6. Step 6: Final answer
    x = 535,215.18

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.