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Finding the Third Proportional to 661,740 and 989,967

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Solution

The third proportional to 661,740 and 989,967 is: 1,480,996.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,740 : 989,967 = 989,967 : x
  2. Step 2: Convert to fraction form
    661,740/989,967 = 989,967/x
  3. Step 3: Cross multiply
    661,740x = 989,967 × 989,967
  4. Step 4: Simplify right side
    661,740x = 980,034,661,089
  5. Step 5: Solve for x
    x = 980,034,661,089/661,740
  6. Step 6: Final answer
    x = 1,480,996.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.