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Finding the Third Proportional to 421,861 and 910,019

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Solution

The third proportional to 421,861 and 910,019 is: 1,963,050.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,861 : 910,019 = 910,019 : x
  2. Step 2: Convert to fraction form
    421,861/910,019 = 910,019/x
  3. Step 3: Cross multiply
    421,861x = 910,019 × 910,019
  4. Step 4: Simplify right side
    421,861x = 828,134,580,361
  5. Step 5: Solve for x
    x = 828,134,580,361/421,861
  6. Step 6: Final answer
    x = 1,963,050.82

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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.