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Finding the Third Proportional to 77,263,756 and 163,739,155

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Solution

The third proportional to 77,263,756 and 163,739,155 is: 346,999,838.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,263,756 : 163,739,155 = 163,739,155 : x
  2. Step 2: Convert to fraction form
    77,263,756/163,739,155 = 163,739,155/x
  3. Step 3: Cross multiply
    77,263,756x = 163,739,155 × 163,739,155
  4. Step 4: Simplify right side
    77,263,756x = 26,810,510,880,114,024
  5. Step 5: Solve for x
    x = 26,810,510,880,114,024/77,263,756
  6. Step 6: Final answer
    x = 346,999,838.84

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.