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Finding the Third Proportional to 78,137,138 and 114,867,075

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Solution

The third proportional to 78,137,138 and 114,867,075 is: 168,862,659.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,137,138 : 114,867,075 = 114,867,075 : x
  2. Step 2: Convert to fraction form
    78,137,138/114,867,075 = 114,867,075/x
  3. Step 3: Cross multiply
    78,137,138x = 114,867,075 × 114,867,075
  4. Step 4: Simplify right side
    78,137,138x = 13,194,444,919,055,624
  5. Step 5: Solve for x
    x = 13,194,444,919,055,624/78,137,138
  6. Step 6: Final answer
    x = 168,862,659.38

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.