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Finding the Third Proportional to 139,791,696 and 218,814,138

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Solution

The third proportional to 139,791,696 and 218,814,138 is: 342,506,946.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,791,696 : 218,814,138 = 218,814,138 : x
  2. Step 2: Convert to fraction form
    139,791,696/218,814,138 = 218,814,138/x
  3. Step 3: Cross multiply
    139,791,696x = 218,814,138 × 218,814,138
  4. Step 4: Simplify right side
    139,791,696x = 47,879,626,988,683,040
  5. Step 5: Solve for x
    x = 47,879,626,988,683,040/139,791,696
  6. Step 6: Final answer
    x = 342,506,946.83

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.