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Finding the Third Proportional to 453,372 and 988,144

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Solution

The third proportional to 453,372 and 988,144 is: 2,153,702.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,372 : 988,144 = 988,144 : x
  2. Step 2: Convert to fraction form
    453,372/988,144 = 988,144/x
  3. Step 3: Cross multiply
    453,372x = 988,144 × 988,144
  4. Step 4: Simplify right side
    453,372x = 976,428,564,736
  5. Step 5: Solve for x
    x = 976,428,564,736/453,372
  6. Step 6: Final answer
    x = 2,153,702.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.