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Finding the Third Proportional to 988,224,855 and 1,317,478,297.50

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Solution

The third proportional to 988,224,855 and 1,317,478,297.50 is: 1,756,431,297.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    988,224,855 : 1,317,478,297.50 = 1,317,478,297.50 : x
  2. Step 2: Convert to fraction form
    988,224,855/1,317,478,297.50 = 1,317,478,297.50/x
  3. Step 3: Cross multiply
    988,224,855x = 1,317,478,297.50 × 1,317,478,297.50
  4. Step 4: Simplify right side
    988,224,855x = 1,735,749,064,383,498,496
  5. Step 5: Solve for x
    x = 1,735,749,064,383,498,496/988,224,855
  6. Step 6: Final answer
    x = 1,756,431,297.60

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.