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Finding the Third Proportional to 400,746 and 842,991

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Solution

The third proportional to 400,746 and 842,991 is: 1,773,277.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,746 : 842,991 = 842,991 : x
  2. Step 2: Convert to fraction form
    400,746/842,991 = 842,991/x
  3. Step 3: Cross multiply
    400,746x = 842,991 × 842,991
  4. Step 4: Simplify right side
    400,746x = 710,633,826,081
  5. Step 5: Solve for x
    x = 710,633,826,081/400,746
  6. Step 6: Final answer
    x = 1,773,277.40

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.