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Finding the Third Proportional to 665,944 and 1,438,295

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Solution

The third proportional to 665,944 and 1,438,295 is: 3,106,406.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,944 : 1,438,295 = 1,438,295 : x
  2. Step 2: Convert to fraction form
    665,944/1,438,295 = 1,438,295/x
  3. Step 3: Cross multiply
    665,944x = 1,438,295 × 1,438,295
  4. Step 4: Simplify right side
    665,944x = 2,068,692,507,025
  5. Step 5: Solve for x
    x = 2,068,692,507,025/665,944
  6. Step 6: Final answer
    x = 3,106,406.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.