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Finding the Third Proportional to 385,809 and 846,321

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Solution

The third proportional to 385,809 and 846,321 is: 1,856,512.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,809 : 846,321 = 846,321 : x
  2. Step 2: Convert to fraction form
    385,809/846,321 = 846,321/x
  3. Step 3: Cross multiply
    385,809x = 846,321 × 846,321
  4. Step 4: Simplify right side
    385,809x = 716,259,235,041
  5. Step 5: Solve for x
    x = 716,259,235,041/385,809
  6. Step 6: Final answer
    x = 1,856,512.51

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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.