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Finding the Third Proportional to 458,880 and 988,072

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Solution

The third proportional to 458,880 and 988,072 is: 2,127,541.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,880 : 988,072 = 988,072 : x
  2. Step 2: Convert to fraction form
    458,880/988,072 = 988,072/x
  3. Step 3: Cross multiply
    458,880x = 988,072 × 988,072
  4. Step 4: Simplify right side
    458,880x = 976,286,277,184
  5. Step 5: Solve for x
    x = 976,286,277,184/458,880
  6. Step 6: Final answer
    x = 2,127,541.57

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.