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Finding the Third Proportional to 136,658 and 297,252

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Solution

The third proportional to 136,658 and 297,252 is: 646,568.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,658 : 297,252 = 297,252 : x
  2. Step 2: Convert to fraction form
    136,658/297,252 = 297,252/x
  3. Step 3: Cross multiply
    136,658x = 297,252 × 297,252
  4. Step 4: Simplify right side
    136,658x = 88,358,751,504
  5. Step 5: Solve for x
    x = 88,358,751,504/136,658
  6. Step 6: Final answer
    x = 646,568.45

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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.