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Finding the Third Proportional to 403,106 and 879,896

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Solution

The third proportional to 403,106 and 879,896 is: 1,920,628.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,106 : 879,896 = 879,896 : x
  2. Step 2: Convert to fraction form
    403,106/879,896 = 879,896/x
  3. Step 3: Cross multiply
    403,106x = 879,896 × 879,896
  4. Step 4: Simplify right side
    403,106x = 774,216,970,816
  5. Step 5: Solve for x
    x = 774,216,970,816/403,106
  6. Step 6: Final answer
    x = 1,920,628.74

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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.