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Finding the Third Proportional to 656,862 and 989,991

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Solution

The third proportional to 656,862 and 989,991 is: 1,492,067.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,862 : 989,991 = 989,991 : x
  2. Step 2: Convert to fraction form
    656,862/989,991 = 989,991/x
  3. Step 3: Cross multiply
    656,862x = 989,991 × 989,991
  4. Step 4: Simplify right side
    656,862x = 980,082,180,081
  5. Step 5: Solve for x
    x = 980,082,180,081/656,862
  6. Step 6: Final answer
    x = 1,492,067.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.