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Finding the Third Proportional to 55,584,295.50 and 120,737,196

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Solution

The third proportional to 55,584,295.50 and 120,737,196 is: 262,258,797.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,584,295.50 : 120,737,196 = 120,737,196 : x
  2. Step 2: Convert to fraction form
    55,584,295.50/120,737,196 = 120,737,196/x
  3. Step 3: Cross multiply
    55,584,295.50x = 120,737,196 × 120,737,196
  4. Step 4: Simplify right side
    55,584,295.50x = 14,577,470,497,942,416
  5. Step 5: Solve for x
    x = 14,577,470,497,942,416/55,584,295.50
  6. Step 6: Final answer
    x = 262,258,797.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.