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Finding the Third Proportional to 221,564 and 343,725

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Solution

The third proportional to 221,564 and 343,725 is: 533,240.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,564 : 343,725 = 343,725 : x
  2. Step 2: Convert to fraction form
    221,564/343,725 = 343,725/x
  3. Step 3: Cross multiply
    221,564x = 343,725 × 343,725
  4. Step 4: Simplify right side
    221,564x = 118,146,875,625
  5. Step 5: Solve for x
    x = 118,146,875,625/221,564
  6. Step 6: Final answer
    x = 533,240.40

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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.