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Finding the Third Proportional to 668,420 and 1,391,920

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Solution

The third proportional to 668,420 and 1,391,920 is: 2,898,538.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,420 : 1,391,920 = 1,391,920 : x
  2. Step 2: Convert to fraction form
    668,420/1,391,920 = 1,391,920/x
  3. Step 3: Cross multiply
    668,420x = 1,391,920 × 1,391,920
  4. Step 4: Simplify right side
    668,420x = 1,937,441,286,400
  5. Step 5: Solve for x
    x = 1,937,441,286,400/668,420
  6. Step 6: Final answer
    x = 2,898,538.77

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.