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Finding the Third Proportional to 669,982 and 909,783

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Solution

The third proportional to 669,982 and 909,783 is: 1,235,413.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    669,982 : 909,783 = 909,783 : x
  2. Step 2: Convert to fraction form
    669,982/909,783 = 909,783/x
  3. Step 3: Cross multiply
    669,982x = 909,783 × 909,783
  4. Step 4: Simplify right side
    669,982x = 827,705,107,089
  5. Step 5: Solve for x
    x = 827,705,107,089/669,982
  6. Step 6: Final answer
    x = 1,235,413.95

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.