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Finding the Third Proportional to 184,780 and 257,445

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Solution

The third proportional to 184,780 and 257,445 is: 358,685.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,780 : 257,445 = 257,445 : x
  2. Step 2: Convert to fraction form
    184,780/257,445 = 257,445/x
  3. Step 3: Cross multiply
    184,780x = 257,445 × 257,445
  4. Step 4: Simplify right side
    184,780x = 66,277,928,025
  5. Step 5: Solve for x
    x = 66,277,928,025/184,780
  6. Step 6: Final answer
    x = 358,685.62

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.