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Finding the Third Proportional to 385,972 and 837,964

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Solution

The third proportional to 385,972 and 837,964 is: 1,819,260.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,972 : 837,964 = 837,964 : x
  2. Step 2: Convert to fraction form
    385,972/837,964 = 837,964/x
  3. Step 3: Cross multiply
    385,972x = 837,964 × 837,964
  4. Step 4: Simplify right side
    385,972x = 702,183,665,296
  5. Step 5: Solve for x
    x = 702,183,665,296/385,972
  6. Step 6: Final answer
    x = 1,819,260.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.