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Finding the Third Proportional to 137,018 and 300,220

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Solution

The third proportional to 137,018 and 300,220 is: 657,811.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,018 : 300,220 = 300,220 : x
  2. Step 2: Convert to fraction form
    137,018/300,220 = 300,220/x
  3. Step 3: Cross multiply
    137,018x = 300,220 × 300,220
  4. Step 4: Simplify right side
    137,018x = 90,132,048,400
  5. Step 5: Solve for x
    x = 90,132,048,400/137,018
  6. Step 6: Final answer
    x = 657,811.74

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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.