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Finding the Third Proportional to 145,677 and 228,903

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Solution

The third proportional to 145,677 and 228,903 is: 359,676.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,677 : 228,903 = 228,903 : x
  2. Step 2: Convert to fraction form
    145,677/228,903 = 228,903/x
  3. Step 3: Cross multiply
    145,677x = 228,903 × 228,903
  4. Step 4: Simplify right side
    145,677x = 52,396,583,409
  5. Step 5: Solve for x
    x = 52,396,583,409/145,677
  6. Step 6: Final answer
    x = 359,676.43

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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.