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Finding the Third Proportional to 300,840 and 653,520

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Solution

The third proportional to 300,840 and 653,520 is: 1,419,652.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,840 : 653,520 = 653,520 : x
  2. Step 2: Convert to fraction form
    300,840/653,520 = 653,520/x
  3. Step 3: Cross multiply
    300,840x = 653,520 × 653,520
  4. Step 4: Simplify right side
    300,840x = 427,088,390,400
  5. Step 5: Solve for x
    x = 427,088,390,400/300,840
  6. Step 6: Final answer
    x = 1,419,652.94

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.