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Finding the Third Proportional to 191,388 and 392,328

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Solution

The third proportional to 191,388 and 392,328 is: 804,236.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,388 : 392,328 = 392,328 : x
  2. Step 2: Convert to fraction form
    191,388/392,328 = 392,328/x
  3. Step 3: Cross multiply
    191,388x = 392,328 × 392,328
  4. Step 4: Simplify right side
    191,388x = 153,921,259,584
  5. Step 5: Solve for x
    x = 153,921,259,584/191,388
  6. Step 6: Final answer
    x = 804,236.73

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.