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Finding the Third Proportional to 456,952 and 990,170

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Solution

The third proportional to 456,952 and 990,170 is: 2,145,600.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,952 : 990,170 = 990,170 : x
  2. Step 2: Convert to fraction form
    456,952/990,170 = 990,170/x
  3. Step 3: Cross multiply
    456,952x = 990,170 × 990,170
  4. Step 4: Simplify right side
    456,952x = 980,436,628,900
  5. Step 5: Solve for x
    x = 980,436,628,900/456,952
  6. Step 6: Final answer
    x = 2,145,600.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.