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Finding the Third Proportional to 421,859 and 910,015

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Solution

The third proportional to 421,859 and 910,015 is: 1,963,042.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,859 : 910,015 = 910,015 : x
  2. Step 2: Convert to fraction form
    421,859/910,015 = 910,015/x
  3. Step 3: Cross multiply
    421,859x = 910,015 × 910,015
  4. Step 4: Simplify right side
    421,859x = 828,127,300,225
  5. Step 5: Solve for x
    x = 828,127,300,225/421,859
  6. Step 6: Final answer
    x = 1,963,042.87

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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.