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Finding the Third Proportional to 153,286 and 228,985

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Solution

The third proportional to 153,286 and 228,985 is: 342,067.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,286 : 228,985 = 228,985 : x
  2. Step 2: Convert to fraction form
    153,286/228,985 = 228,985/x
  3. Step 3: Cross multiply
    153,286x = 228,985 × 228,985
  4. Step 4: Simplify right side
    153,286x = 52,434,130,225
  5. Step 5: Solve for x
    x = 52,434,130,225/153,286
  6. Step 6: Final answer
    x = 342,067.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.