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Finding the Third Proportional to 132,656 and 288,640

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Solution

The third proportional to 132,656 and 288,640 is: 628,038.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,656 : 288,640 = 288,640 : x
  2. Step 2: Convert to fraction form
    132,656/288,640 = 288,640/x
  3. Step 3: Cross multiply
    132,656x = 288,640 × 288,640
  4. Step 4: Simplify right side
    132,656x = 83,313,049,600
  5. Step 5: Solve for x
    x = 83,313,049,600/132,656
  6. Step 6: Final answer
    x = 628,038.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.