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Finding the Third Proportional to 136,512 and 297,768

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Solution

The third proportional to 136,512 and 297,768 is: 649,509.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,512 : 297,768 = 297,768 : x
  2. Step 2: Convert to fraction form
    136,512/297,768 = 297,768/x
  3. Step 3: Cross multiply
    136,512x = 297,768 × 297,768
  4. Step 4: Simplify right side
    136,512x = 88,665,781,824
  5. Step 5: Solve for x
    x = 88,665,781,824/136,512
  6. Step 6: Final answer
    x = 649,509.07

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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.