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Finding the Third Proportional to 136,320 and 297,912

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Solution

The third proportional to 136,320 and 297,912 is: 651,053.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,320 : 297,912 = 297,912 : x
  2. Step 2: Convert to fraction form
    136,320/297,912 = 297,912/x
  3. Step 3: Cross multiply
    136,320x = 297,912 × 297,912
  4. Step 4: Simplify right side
    136,320x = 88,751,559,744
  5. Step 5: Solve for x
    x = 88,751,559,744/136,320
  6. Step 6: Final answer
    x = 651,053.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.