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Finding the Third Proportional to 890,394 and 1,379,567

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Solution

The third proportional to 890,394 and 1,379,567 is: 2,137,486.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    890,394 : 1,379,567 = 1,379,567 : x
  2. Step 2: Convert to fraction form
    890,394/1,379,567 = 1,379,567/x
  3. Step 3: Cross multiply
    890,394x = 1,379,567 × 1,379,567
  4. Step 4: Simplify right side
    890,394x = 1,903,205,107,489
  5. Step 5: Solve for x
    x = 1,903,205,107,489/890,394
  6. Step 6: Final answer
    x = 2,137,486.45

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.