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Finding the Third Proportional to 261,796 and 420,026

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Solution

The third proportional to 261,796 and 420,026 is: 673,890.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,796 : 420,026 = 420,026 : x
  2. Step 2: Convert to fraction form
    261,796/420,026 = 420,026/x
  3. Step 3: Cross multiply
    261,796x = 420,026 × 420,026
  4. Step 4: Simplify right side
    261,796x = 176,421,840,676
  5. Step 5: Solve for x
    x = 176,421,840,676/261,796
  6. Step 6: Final answer
    x = 673,890.51

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.