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Finding the Third Proportional to 56,603,817 and 121,280,121

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Solution

The third proportional to 56,603,817 and 121,280,121 is: 259,856,464.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,603,817 : 121,280,121 = 121,280,121 : x
  2. Step 2: Convert to fraction form
    56,603,817/121,280,121 = 121,280,121/x
  3. Step 3: Cross multiply
    56,603,817x = 121,280,121 × 121,280,121
  4. Step 4: Simplify right side
    56,603,817x = 14,708,867,749,774,640
  5. Step 5: Solve for x
    x = 14,708,867,749,774,640/56,603,817
  6. Step 6: Final answer
    x = 259,856,464.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.