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Finding the Third Proportional to 672,840 and 1,469,520

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Solution

The third proportional to 672,840 and 1,469,520 is: 3,209,513.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    672,840 : 1,469,520 = 1,469,520 : x
  2. Step 2: Convert to fraction form
    672,840/1,469,520 = 1,469,520/x
  3. Step 3: Cross multiply
    672,840x = 1,469,520 × 1,469,520
  4. Step 4: Simplify right side
    672,840x = 2,159,489,030,400
  5. Step 5: Solve for x
    x = 2,159,489,030,400/672,840
  6. Step 6: Final answer
    x = 3,209,513.45

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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.