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Finding the Third Proportional to 128,038 and 184,430

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Solution

The third proportional to 128,038 and 184,430 is: 265,658.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,038 : 184,430 = 184,430 : x
  2. Step 2: Convert to fraction form
    128,038/184,430 = 184,430/x
  3. Step 3: Cross multiply
    128,038x = 184,430 × 184,430
  4. Step 4: Simplify right side
    128,038x = 34,014,424,900
  5. Step 5: Solve for x
    x = 34,014,424,900/128,038
  6. Step 6: Final answer
    x = 265,658.83

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.