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Finding the Third Proportional to 450,423 and 989,440

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Solution

The third proportional to 450,423 and 989,440 is: 2,173,493.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,423 : 989,440 = 989,440 : x
  2. Step 2: Convert to fraction form
    450,423/989,440 = 989,440/x
  3. Step 3: Cross multiply
    450,423x = 989,440 × 989,440
  4. Step 4: Simplify right side
    450,423x = 978,991,513,600
  5. Step 5: Solve for x
    x = 978,991,513,600/450,423
  6. Step 6: Final answer
    x = 2,173,493.61

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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.