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Finding the Third Proportional to 906,921 and 1,977,137

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Solution

The third proportional to 906,921 and 1,977,137 is: 4,310,265.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    906,921 : 1,977,137 = 1,977,137 : x
  2. Step 2: Convert to fraction form
    906,921/1,977,137 = 1,977,137/x
  3. Step 3: Cross multiply
    906,921x = 1,977,137 × 1,977,137
  4. Step 4: Simplify right side
    906,921x = 3,909,070,716,769
  5. Step 5: Solve for x
    x = 3,909,070,716,769/906,921
  6. Step 6: Final answer
    x = 4,310,265.96

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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.