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Finding the Third Proportional to 449,213 and 973,128

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Solution

The third proportional to 449,213 and 973,128 is: 2,108,082.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,213 : 973,128 = 973,128 : x
  2. Step 2: Convert to fraction form
    449,213/973,128 = 973,128/x
  3. Step 3: Cross multiply
    449,213x = 973,128 × 973,128
  4. Step 4: Simplify right side
    449,213x = 946,978,104,384
  5. Step 5: Solve for x
    x = 946,978,104,384/449,213
  6. Step 6: Final answer
    x = 2,108,082.59

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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.