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Finding the Third Proportional to 654,120 and 959,640

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Solution

The third proportional to 654,120 and 959,640 is: 1,407,859.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,120 : 959,640 = 959,640 : x
  2. Step 2: Convert to fraction form
    654,120/959,640 = 959,640/x
  3. Step 3: Cross multiply
    654,120x = 959,640 × 959,640
  4. Step 4: Simplify right side
    654,120x = 920,908,929,600
  5. Step 5: Solve for x
    x = 920,908,929,600/654,120
  6. Step 6: Final answer
    x = 1,407,859.31

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.