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Finding the Third Proportional to 403,076 and 879,834

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Solution

The third proportional to 403,076 and 879,834 is: 1,920,501.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,076 : 879,834 = 879,834 : x
  2. Step 2: Convert to fraction form
    403,076/879,834 = 879,834/x
  3. Step 3: Cross multiply
    403,076x = 879,834 × 879,834
  4. Step 4: Simplify right side
    403,076x = 774,107,867,556
  5. Step 5: Solve for x
    x = 774,107,867,556/403,076
  6. Step 6: Final answer
    x = 1,920,501.02

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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.