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Finding the Third Proportional to 221,394 and 345,915

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Solution

The third proportional to 221,394 and 345,915 is: 540,471.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,394 : 345,915 = 345,915 : x
  2. Step 2: Convert to fraction form
    221,394/345,915 = 345,915/x
  3. Step 3: Cross multiply
    221,394x = 345,915 × 345,915
  4. Step 4: Simplify right side
    221,394x = 119,657,187,225
  5. Step 5: Solve for x
    x = 119,657,187,225/221,394
  6. Step 6: Final answer
    x = 540,471.68

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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.