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Finding the Third Proportional to 821,457 and 1,764,346

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Solution

The third proportional to 821,457 and 1,764,346 is: 3,789,506.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    821,457 : 1,764,346 = 1,764,346 : x
  2. Step 2: Convert to fraction form
    821,457/1,764,346 = 1,764,346/x
  3. Step 3: Cross multiply
    821,457x = 1,764,346 × 1,764,346
  4. Step 4: Simplify right side
    821,457x = 3,112,916,807,716
  5. Step 5: Solve for x
    x = 3,112,916,807,716/821,457
  6. Step 6: Final answer
    x = 3,789,506.70

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.