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Finding the Third Proportional to 449,309 and 973,381

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Solution

The third proportional to 449,309 and 973,381 is: 2,108,728.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,309 : 973,381 = 973,381 : x
  2. Step 2: Convert to fraction form
    449,309/973,381 = 973,381/x
  3. Step 3: Cross multiply
    449,309x = 973,381 × 973,381
  4. Step 4: Simplify right side
    449,309x = 947,470,571,161
  5. Step 5: Solve for x
    x = 947,470,571,161/449,309
  6. Step 6: Final answer
    x = 2,108,728.23

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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.