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Finding the Third Proportional to 450,576 and 989,280

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Solution

The third proportional to 450,576 and 989,280 is: 2,172,052.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,576 : 989,280 = 989,280 : x
  2. Step 2: Convert to fraction form
    450,576/989,280 = 989,280/x
  3. Step 3: Cross multiply
    450,576x = 989,280 × 989,280
  4. Step 4: Simplify right side
    450,576x = 978,674,918,400
  5. Step 5: Solve for x
    x = 978,674,918,400/450,576
  6. Step 6: Final answer
    x = 2,172,052.92

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.