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Finding the Third Proportional to 665,274 and 1,042,417

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Solution

The third proportional to 665,274 and 1,042,417 is: 1,633,361.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,274 : 1,042,417 = 1,042,417 : x
  2. Step 2: Convert to fraction form
    665,274/1,042,417 = 1,042,417/x
  3. Step 3: Cross multiply
    665,274x = 1,042,417 × 1,042,417
  4. Step 4: Simplify right side
    665,274x = 1,086,633,201,889
  5. Step 5: Solve for x
    x = 1,086,633,201,889/665,274
  6. Step 6: Final answer
    x = 1,633,361.90

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.