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Finding the Third Proportional to 448,658 and 988,360

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Solution

The third proportional to 448,658 and 988,360 is: 2,177,283.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,658 : 988,360 = 988,360 : x
  2. Step 2: Convert to fraction form
    448,658/988,360 = 988,360/x
  3. Step 3: Cross multiply
    448,658x = 988,360 × 988,360
  4. Step 4: Simplify right side
    448,658x = 976,855,489,600
  5. Step 5: Solve for x
    x = 976,855,489,600/448,658
  6. Step 6: Final answer
    x = 2,177,283.12

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.