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Finding the Third Proportional to 145,172 and 228,128

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Solution

The third proportional to 145,172 and 228,128 is: 358,487.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,172 : 228,128 = 228,128 : x
  2. Step 2: Convert to fraction form
    145,172/228,128 = 228,128/x
  3. Step 3: Cross multiply
    145,172x = 228,128 × 228,128
  4. Step 4: Simplify right side
    145,172x = 52,042,384,384
  5. Step 5: Solve for x
    x = 52,042,384,384/145,172
  6. Step 6: Final answer
    x = 358,487.76

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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.