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Finding the Third Proportional to 451,413 and 699,813

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Solution

The third proportional to 451,413 and 699,813 is: 1,084,900.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,413 : 699,813 = 699,813 : x
  2. Step 2: Convert to fraction form
    451,413/699,813 = 699,813/x
  3. Step 3: Cross multiply
    451,413x = 699,813 × 699,813
  4. Step 4: Simplify right side
    451,413x = 489,738,234,969
  5. Step 5: Solve for x
    x = 489,738,234,969/451,413
  6. Step 6: Final answer
    x = 1,084,900.60

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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.