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Finding the Third Proportional to 669,980 and 909,780

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Solution

The third proportional to 669,980 and 909,780 is: 1,235,409.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    669,980 : 909,780 = 909,780 : x
  2. Step 2: Convert to fraction form
    669,980/909,780 = 909,780/x
  3. Step 3: Cross multiply
    669,980x = 909,780 × 909,780
  4. Step 4: Simplify right side
    669,980x = 827,699,648,400
  5. Step 5: Solve for x
    x = 827,699,648,400/669,980
  6. Step 6: Final answer
    x = 1,235,409.49

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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.