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Finding the Third Proportional to 145,657 and 221,525

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Solution

The third proportional to 145,657 and 221,525 is: 336,910.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,657 : 221,525 = 221,525 : x
  2. Step 2: Convert to fraction form
    145,657/221,525 = 221,525/x
  3. Step 3: Cross multiply
    145,657x = 221,525 × 221,525
  4. Step 4: Simplify right side
    145,657x = 49,073,325,625
  5. Step 5: Solve for x
    x = 49,073,325,625/145,657
  6. Step 6: Final answer
    x = 336,910.18

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.