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Finding the Third Proportional to 137,017 and 300,218

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Solution

The third proportional to 137,017 and 300,218 is: 657,807.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,017 : 300,218 = 300,218 : x
  2. Step 2: Convert to fraction form
    137,017/300,218 = 300,218/x
  3. Step 3: Cross multiply
    137,017x = 300,218 × 300,218
  4. Step 4: Simplify right side
    137,017x = 90,130,847,524
  5. Step 5: Solve for x
    x = 90,130,847,524/137,017
  6. Step 6: Final answer
    x = 657,807.77

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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.