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Finding the Third Proportional to 689,728 and 1,064,120

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Solution

The third proportional to 689,728 and 1,064,120 is: 1,641,736.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,728 : 1,064,120 = 1,064,120 : x
  2. Step 2: Convert to fraction form
    689,728/1,064,120 = 1,064,120/x
  3. Step 3: Cross multiply
    689,728x = 1,064,120 × 1,064,120
  4. Step 4: Simplify right side
    689,728x = 1,132,351,374,400
  5. Step 5: Solve for x
    x = 1,132,351,374,400/689,728
  6. Step 6: Final answer
    x = 1,641,736.13

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.