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Finding the Third Proportional to 289,804 and 631,154

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Solution

The third proportional to 289,804 and 631,154 is: 1,374,568.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,804 : 631,154 = 631,154 : x
  2. Step 2: Convert to fraction form
    289,804/631,154 = 631,154/x
  3. Step 3: Cross multiply
    289,804x = 631,154 × 631,154
  4. Step 4: Simplify right side
    289,804x = 398,355,371,716
  5. Step 5: Solve for x
    x = 398,355,371,716/289,804
  6. Step 6: Final answer
    x = 1,374,568.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.