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Finding the Third Proportional to 456,446 and 671,745

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Solution

The third proportional to 456,446 and 671,745 is: 988,597.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,446 : 671,745 = 671,745 : x
  2. Step 2: Convert to fraction form
    456,446/671,745 = 671,745/x
  3. Step 3: Cross multiply
    456,446x = 671,745 × 671,745
  4. Step 4: Simplify right side
    456,446x = 451,241,345,025
  5. Step 5: Solve for x
    x = 451,241,345,025/456,446
  6. Step 6: Final answer
    x = 988,597.44

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.