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Finding the Third Proportional to 289,785 and 631,056

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Solution

The third proportional to 289,785 and 631,056 is: 1,374,231.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,785 : 631,056 = 631,056 : x
  2. Step 2: Convert to fraction form
    289,785/631,056 = 631,056/x
  3. Step 3: Cross multiply
    289,785x = 631,056 × 631,056
  4. Step 4: Simplify right side
    289,785x = 398,231,675,136
  5. Step 5: Solve for x
    x = 398,231,675,136/289,785
  6. Step 6: Final answer
    x = 1,374,231.50

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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.