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Finding the Third Proportional to 221,442.19 and 343,543.78

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Solution

The third proportional to 221,442.19 and 343,543.78 is: 532,971.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,442.19 : 343,543.78 = 343,543.78 : x
  2. Step 2: Convert to fraction form
    221,442.19/343,543.78 = 343,543.78/x
  3. Step 3: Cross multiply
    221,442.19x = 343,543.78 × 343,543.78
  4. Step 4: Simplify right side
    221,442.19x = 118,022,329,635.55
  5. Step 5: Solve for x
    x = 118,022,329,635.55/221,442.19
  6. Step 6: Final answer
    x = 532,971.30

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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.