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Finding the Third Proportional to 346,986 and 803,211

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Solution

The third proportional to 346,986 and 803,211 is: 1,859,290.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,986 : 803,211 = 803,211 : x
  2. Step 2: Convert to fraction form
    346,986/803,211 = 803,211/x
  3. Step 3: Cross multiply
    346,986x = 803,211 × 803,211
  4. Step 4: Simplify right side
    346,986x = 645,147,910,521
  5. Step 5: Solve for x
    x = 645,147,910,521/346,986
  6. Step 6: Final answer
    x = 1,859,290.90

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.