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Finding the Third Proportional to 221,412 and 343,779

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Solution

The third proportional to 221,412 and 343,779 is: 533,774.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,412 : 343,779 = 343,779 : x
  2. Step 2: Convert to fraction form
    221,412/343,779 = 343,779/x
  3. Step 3: Cross multiply
    221,412x = 343,779 × 343,779
  4. Step 4: Simplify right side
    221,412x = 118,184,000,841
  5. Step 5: Solve for x
    x = 118,184,000,841/221,412
  6. Step 6: Final answer
    x = 533,774.14

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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.