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Finding the Third Proportional to 447,640 and 915,964

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Solution

The third proportional to 447,640 and 915,964 is: 1,874,251.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,640 : 915,964 = 915,964 : x
  2. Step 2: Convert to fraction form
    447,640/915,964 = 915,964/x
  3. Step 3: Cross multiply
    447,640x = 915,964 × 915,964
  4. Step 4: Simplify right side
    447,640x = 838,990,049,296
  5. Step 5: Solve for x
    x = 838,990,049,296/447,640
  6. Step 6: Final answer
    x = 1,874,251.74

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.