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Finding the Third Proportional to 448,806,763,260 and 987,373,786,680

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Solution

The third proportional to 448,806,763,260 and 987,373,786,680 is: 2,172,219,927,216.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,806,763,260 : 987,373,786,680 = 987,373,786,680 : x
  2. Step 2: Convert to fraction form
    448,806,763,260/987,373,786,680 = 987,373,786,680/x
  3. Step 3: Cross multiply
    448,806,763,260x = 987,373,786,680 × 987,373,786,680
  4. Step 4: Simplify right side
    448,806,763,260x = 974,906,994,622,802,211,897,344
  5. Step 5: Solve for x
    x = 974,906,994,622,802,211,897,344/448,806,763,260
  6. Step 6: Final answer
    x = 2,172,219,927,216.26

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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.