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Finding the Third Proportional to 456,056 and 990,000

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Solution

The third proportional to 456,056 and 990,000 is: 2,149,078.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,056 : 990,000 = 990,000 : x
  2. Step 2: Convert to fraction form
    456,056/990,000 = 990,000/x
  3. Step 3: Cross multiply
    456,056x = 990,000 × 990,000
  4. Step 4: Simplify right side
    456,056x = 980,100,000,000
  5. Step 5: Solve for x
    x = 980,100,000,000/456,056
  6. Step 6: Final answer
    x = 2,149,078.18

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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.