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Finding the Third Proportional to 145,222 and 228,215

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Solution

The third proportional to 145,222 and 228,215 is: 358,637.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,222 : 228,215 = 228,215 : x
  2. Step 2: Convert to fraction form
    145,222/228,215 = 228,215/x
  3. Step 3: Cross multiply
    145,222x = 228,215 × 228,215
  4. Step 4: Simplify right side
    145,222x = 52,082,086,225
  5. Step 5: Solve for x
    x = 52,082,086,225/145,222
  6. Step 6: Final answer
    x = 358,637.71

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.