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Finding the Third Proportional to 389,108 and 846,376

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Solution

The third proportional to 389,108 and 846,376 is: 1,841,011.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,108 : 846,376 = 846,376 : x
  2. Step 2: Convert to fraction form
    389,108/846,376 = 846,376/x
  3. Step 3: Cross multiply
    389,108x = 846,376 × 846,376
  4. Step 4: Simplify right side
    389,108x = 716,352,333,376
  5. Step 5: Solve for x
    x = 716,352,333,376/389,108
  6. Step 6: Final answer
    x = 1,841,011.58

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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.