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Finding the Third Proportional to 389,097 and 846,342

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Solution

The third proportional to 389,097 and 846,342 is: 1,840,915.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,097 : 846,342 = 846,342 : x
  2. Step 2: Convert to fraction form
    389,097/846,342 = 846,342/x
  3. Step 3: Cross multiply
    389,097x = 846,342 × 846,342
  4. Step 4: Simplify right side
    389,097x = 716,294,780,964
  5. Step 5: Solve for x
    x = 716,294,780,964/389,097
  6. Step 6: Final answer
    x = 1,840,915.71

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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.