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Finding the Third Proportional to 139,791,714 and 218,814,168

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Solution

The third proportional to 139,791,714 and 218,814,168 is: 342,506,996.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,791,714 : 218,814,168 = 218,814,168 : x
  2. Step 2: Convert to fraction form
    139,791,714/218,814,168 = 218,814,168/x
  3. Step 3: Cross multiply
    139,791,714x = 218,814,168 × 218,814,168
  4. Step 4: Simplify right side
    139,791,714x = 47,879,640,117,532,224
  5. Step 5: Solve for x
    x = 47,879,640,117,532,224/139,791,714
  6. Step 6: Final answer
    x = 342,506,996.64

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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.