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Finding the Third Proportional to 400,708 and 846,128

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Solution

The third proportional to 400,708 and 846,128 is: 1,786,669.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,708 : 846,128 = 846,128 : x
  2. Step 2: Convert to fraction form
    400,708/846,128 = 846,128/x
  3. Step 3: Cross multiply
    400,708x = 846,128 × 846,128
  4. Step 4: Simplify right side
    400,708x = 715,932,592,384
  5. Step 5: Solve for x
    x = 715,932,592,384/400,708
  6. Step 6: Final answer
    x = 1,786,669.08

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.