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Finding the Third Proportional to 420,615 and 917,356

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Solution

The third proportional to 420,615 and 917,356 is: 2,000,741.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,615 : 917,356 = 917,356 : x
  2. Step 2: Convert to fraction form
    420,615/917,356 = 917,356/x
  3. Step 3: Cross multiply
    420,615x = 917,356 × 917,356
  4. Step 4: Simplify right side
    420,615x = 841,542,030,736
  5. Step 5: Solve for x
    x = 841,542,030,736/420,615
  6. Step 6: Final answer
    x = 2,000,741.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.