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Finding the Third Proportional to 656,835 and 989,949

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Solution

The third proportional to 656,835 and 989,949 is: 1,492,001.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,835 : 989,949 = 989,949 : x
  2. Step 2: Convert to fraction form
    656,835/989,949 = 989,949/x
  3. Step 3: Cross multiply
    656,835x = 989,949 × 989,949
  4. Step 4: Simplify right side
    656,835x = 979,999,022,601
  5. Step 5: Solve for x
    x = 979,999,022,601/656,835
  6. Step 6: Final answer
    x = 1,492,001.83

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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.