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Finding the Third Proportional to 398,124 and 842,904

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Solution

The third proportional to 398,124 and 842,904 is: 1,784,587.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,124 : 842,904 = 842,904 : x
  2. Step 2: Convert to fraction form
    398,124/842,904 = 842,904/x
  3. Step 3: Cross multiply
    398,124x = 842,904 × 842,904
  4. Step 4: Simplify right side
    398,124x = 710,487,153,216
  5. Step 5: Solve for x
    x = 710,487,153,216/398,124
  6. Step 6: Final answer
    x = 1,784,587.60

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.