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Finding the Third Proportional to 1,231,346,040 and 1,908,247,333.50

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Solution

The third proportional to 1,231,346,040 and 1,908,247,333.50 is: 2,957,257,966.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,231,346,040 : 1,908,247,333.50 = 1,908,247,333.50 : x
  2. Step 2: Convert to fraction form
    1,231,346,040/1,908,247,333.50 = 1,908,247,333.50/x
  3. Step 3: Cross multiply
    1,231,346,040x = 1,908,247,333.50 × 1,908,247,333.50
  4. Step 4: Simplify right side
    1,231,346,040x = 3,641,407,885,809,860,096
  5. Step 5: Solve for x
    x = 3,641,407,885,809,860,096/1,231,346,040
  6. Step 6: Final answer
    x = 2,957,257,966.10

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.