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Finding the Third Proportional to 407,556 and 898,056

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Solution

The third proportional to 407,556 and 898,056 is: 1,978,880.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,556 : 898,056 = 898,056 : x
  2. Step 2: Convert to fraction form
    407,556/898,056 = 898,056/x
  3. Step 3: Cross multiply
    407,556x = 898,056 × 898,056
  4. Step 4: Simplify right side
    407,556x = 806,504,579,136
  5. Step 5: Solve for x
    x = 806,504,579,136/407,556
  6. Step 6: Final answer
    x = 1,978,880.40

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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.