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Finding the Third Proportional to 306,365 and 448,867

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Solution

The third proportional to 306,365 and 448,867 is: 657,652.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,365 : 448,867 = 448,867 : x
  2. Step 2: Convert to fraction form
    306,365/448,867 = 448,867/x
  3. Step 3: Cross multiply
    306,365x = 448,867 × 448,867
  4. Step 4: Simplify right side
    306,365x = 201,481,583,689
  5. Step 5: Solve for x
    x = 201,481,583,689/306,365
  6. Step 6: Final answer
    x = 657,652.09

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.