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Finding the Third Proportional to 429,405 and 917,859

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Solution

The third proportional to 429,405 and 917,859 is: 1,961,936.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,405 : 917,859 = 917,859 : x
  2. Step 2: Convert to fraction form
    429,405/917,859 = 917,859/x
  3. Step 3: Cross multiply
    429,405x = 917,859 × 917,859
  4. Step 4: Simplify right side
    429,405x = 842,465,143,881
  5. Step 5: Solve for x
    x = 842,465,143,881/429,405
  6. Step 6: Final answer
    x = 1,961,936.04

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.