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Finding the Third Proportional to 223,646 and 346,160

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Solution

The third proportional to 223,646 and 346,160 is: 535,787.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,646 : 346,160 = 346,160 : x
  2. Step 2: Convert to fraction form
    223,646/346,160 = 346,160/x
  3. Step 3: Cross multiply
    223,646x = 346,160 × 346,160
  4. Step 4: Simplify right side
    223,646x = 119,826,745,600
  5. Step 5: Solve for x
    x = 119,826,745,600/223,646
  6. Step 6: Final answer
    x = 535,787.56

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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.