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Finding the Third Proportional to 7,768,278 and 12,159,477

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Solution

The third proportional to 7,768,278 and 12,159,477 is: 19,032,902.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,768,278 : 12,159,477 = 12,159,477 : x
  2. Step 2: Convert to fraction form
    7,768,278/12,159,477 = 12,159,477/x
  3. Step 3: Cross multiply
    7,768,278x = 12,159,477 × 12,159,477
  4. Step 4: Simplify right side
    7,768,278x = 147,852,880,913,529
  5. Step 5: Solve for x
    x = 147,852,880,913,529/7,768,278
  6. Step 6: Final answer
    x = 19,032,902.91

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.