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Finding the Third Proportional to 421,857 and 910,011

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Solution

The third proportional to 421,857 and 910,011 is: 1,963,034.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,857 : 910,011 = 910,011 : x
  2. Step 2: Convert to fraction form
    421,857/910,011 = 910,011/x
  3. Step 3: Cross multiply
    421,857x = 910,011 × 910,011
  4. Step 4: Simplify right side
    421,857x = 828,120,020,121
  5. Step 5: Solve for x
    x = 828,120,020,121/421,857
  6. Step 6: Final answer
    x = 1,963,034.91

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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.