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Finding the Third Proportional to 403,120 and 879,920

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Solution

The third proportional to 403,120 and 879,920 is: 1,920,666.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,120 : 879,920 = 879,920 : x
  2. Step 2: Convert to fraction form
    403,120/879,920 = 879,920/x
  3. Step 3: Cross multiply
    403,120x = 879,920 × 879,920
  4. Step 4: Simplify right side
    403,120x = 774,259,206,400
  5. Step 5: Solve for x
    x = 774,259,206,400/403,120
  6. Step 6: Final answer
    x = 1,920,666.81

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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.