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Finding the Third Proportional to 191,904 and 391,440

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Solution

The third proportional to 191,904 and 391,440 is: 798,447.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,904 : 391,440 = 391,440 : x
  2. Step 2: Convert to fraction form
    191,904/391,440 = 391,440/x
  3. Step 3: Cross multiply
    191,904x = 391,440 × 391,440
  4. Step 4: Simplify right side
    191,904x = 153,225,273,600
  5. Step 5: Solve for x
    x = 153,225,273,600/191,904
  6. Step 6: Final answer
    x = 798,447.52

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.