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Finding the Third Proportional to 665,928 and 1,438,263

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Solution

The third proportional to 665,928 and 1,438,263 is: 3,106,342.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,928 : 1,438,263 = 1,438,263 : x
  2. Step 2: Convert to fraction form
    665,928/1,438,263 = 1,438,263/x
  3. Step 3: Cross multiply
    665,928x = 1,438,263 × 1,438,263
  4. Step 4: Simplify right side
    665,928x = 2,068,600,457,169
  5. Step 5: Solve for x
    x = 2,068,600,457,169/665,928
  6. Step 6: Final answer
    x = 3,106,342.51

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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.