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Finding the Third Proportional to 66,787,047 and 102,166,778

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Solution

The third proportional to 66,787,047 and 102,166,778 is: 156,288,546.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,787,047 : 102,166,778 = 102,166,778 : x
  2. Step 2: Convert to fraction form
    66,787,047/102,166,778 = 102,166,778/x
  3. Step 3: Cross multiply
    66,787,047x = 102,166,778 × 102,166,778
  4. Step 4: Simplify right side
    66,787,047x = 10,438,050,526,901,284
  5. Step 5: Solve for x
    x = 10,438,050,526,901,284/66,787,047
  6. Step 6: Final answer
    x = 156,288,546.89

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.