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Finding the Third Proportional to 389,128 and 846,412

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Solution

The third proportional to 389,128 and 846,412 is: 1,841,073.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,128 : 846,412 = 846,412 : x
  2. Step 2: Convert to fraction form
    389,128/846,412 = 846,412/x
  3. Step 3: Cross multiply
    389,128x = 846,412 × 846,412
  4. Step 4: Simplify right side
    389,128x = 716,413,273,744
  5. Step 5: Solve for x
    x = 716,413,273,744/389,128
  6. Step 6: Final answer
    x = 1,841,073.56

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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.