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Finding the Third Proportional to 389,103 and 846,354

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Solution

The third proportional to 389,103 and 846,354 is: 1,840,939.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,103 : 846,354 = 846,354 : x
  2. Step 2: Convert to fraction form
    389,103/846,354 = 846,354/x
  3. Step 3: Cross multiply
    389,103x = 846,354 × 846,354
  4. Step 4: Simplify right side
    389,103x = 716,315,093,316
  5. Step 5: Solve for x
    x = 716,315,093,316/389,103
  6. Step 6: Final answer
    x = 1,840,939.53

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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.