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Finding the Third Proportional to 193,564 and 455,420

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Solution

The third proportional to 193,564 and 455,420 is: 1,071,518.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,564 : 455,420 = 455,420 : x
  2. Step 2: Convert to fraction form
    193,564/455,420 = 455,420/x
  3. Step 3: Cross multiply
    193,564x = 455,420 × 455,420
  4. Step 4: Simplify right side
    193,564x = 207,407,376,400
  5. Step 5: Solve for x
    x = 207,407,376,400/193,564
  6. Step 6: Final answer
    x = 1,071,518.34

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.