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Finding the Third Proportional to 77,129,396 and 102,362,138

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Solution

The third proportional to 77,129,396 and 102,362,138 is: 135,849,725.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,129,396 : 102,362,138 = 102,362,138 : x
  2. Step 2: Convert to fraction form
    77,129,396/102,362,138 = 102,362,138/x
  3. Step 3: Cross multiply
    77,129,396x = 102,362,138 × 102,362,138
  4. Step 4: Simplify right side
    77,129,396x = 10,478,007,295,931,044
  5. Step 5: Solve for x
    x = 10,478,007,295,931,044/77,129,396
  6. Step 6: Final answer
    x = 135,849,725.78

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.