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Finding the Third Proportional to 664,659 and 1,368,513

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Solution

The third proportional to 664,659 and 1,368,513 is: 2,817,727.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,659 : 1,368,513 = 1,368,513 : x
  2. Step 2: Convert to fraction form
    664,659/1,368,513 = 1,368,513/x
  3. Step 3: Cross multiply
    664,659x = 1,368,513 × 1,368,513
  4. Step 4: Simplify right side
    664,659x = 1,872,827,831,169
  5. Step 5: Solve for x
    x = 1,872,827,831,169/664,659
  6. Step 6: Final answer
    x = 2,817,727.33

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.