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Finding the Third Proportional to 407,496 and 890,724

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Solution

The third proportional to 407,496 and 890,724 is: 1,946,986.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,496 : 890,724 = 890,724 : x
  2. Step 2: Convert to fraction form
    407,496/890,724 = 890,724/x
  3. Step 3: Cross multiply
    407,496x = 890,724 × 890,724
  4. Step 4: Simplify right side
    407,496x = 793,389,244,176
  5. Step 5: Solve for x
    x = 793,389,244,176/407,496
  6. Step 6: Final answer
    x = 1,946,986.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.