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Finding the Third Proportional to 421,860 and 910,017

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Solution

The third proportional to 421,860 and 910,017 is: 1,963,046.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,860 : 910,017 = 910,017 : x
  2. Step 2: Convert to fraction form
    421,860/910,017 = 910,017/x
  3. Step 3: Cross multiply
    421,860x = 910,017 × 910,017
  4. Step 4: Simplify right side
    421,860x = 828,130,940,289
  5. Step 5: Solve for x
    x = 828,130,940,289/421,860
  6. Step 6: Final answer
    x = 1,963,046.84

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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.