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Finding the Third Proportional to 1,431,455,157 and 3,130,860,906

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Solution

The third proportional to 1,431,455,157 and 3,130,860,906 is: 6,847,780,012.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,431,455,157 : 3,130,860,906 = 3,130,860,906 : x
  2. Step 2: Convert to fraction form
    1,431,455,157/3,130,860,906 = 3,130,860,906/x
  3. Step 3: Cross multiply
    1,431,455,157x = 3,130,860,906 × 3,130,860,906
  4. Step 4: Simplify right side
    1,431,455,157x = 9,802,290,012,719,140,864
  5. Step 5: Solve for x
    x = 9,802,290,012,719,140,864/1,431,455,157
  6. Step 6: Final answer
    x = 6,847,780,012.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.