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Finding the Third Proportional to 421,334 and 910,005

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Solution

The third proportional to 421,334 and 910,005 is: 1,965,445.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,334 : 910,005 = 910,005 : x
  2. Step 2: Convert to fraction form
    421,334/910,005 = 910,005/x
  3. Step 3: Cross multiply
    421,334x = 910,005 × 910,005
  4. Step 4: Simplify right side
    421,334x = 828,109,100,025
  5. Step 5: Solve for x
    x = 828,109,100,025/421,334
  6. Step 6: Final answer
    x = 1,965,445.70

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.