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Finding the Third Proportional to 162,345 and 221,157

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Solution

The third proportional to 162,345 and 221,157 is: 301,274.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,345 : 221,157 = 221,157 : x
  2. Step 2: Convert to fraction form
    162,345/221,157 = 221,157/x
  3. Step 3: Cross multiply
    162,345x = 221,157 × 221,157
  4. Step 4: Simplify right side
    162,345x = 48,910,418,649
  5. Step 5: Solve for x
    x = 48,910,418,649/162,345
  6. Step 6: Final answer
    x = 301,274.56

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.