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Finding the Third Proportional to 77,263,758 and 163,739,160

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Solution

The third proportional to 77,263,758 and 163,739,160 is: 346,999,851.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,263,758 : 163,739,160 = 163,739,160 : x
  2. Step 2: Convert to fraction form
    77,263,758/163,739,160 = 163,739,160/x
  3. Step 3: Cross multiply
    77,263,758x = 163,739,160 × 163,739,160
  4. Step 4: Simplify right side
    77,263,758x = 26,810,512,517,505,600
  5. Step 5: Solve for x
    x = 26,810,512,517,505,600/77,263,758
  6. Step 6: Final answer
    x = 346,999,851.05

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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.