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Finding the Third Proportional to 311,590,864 and 674,888,146

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Solution

The third proportional to 311,590,864 and 674,888,146 is: 1,461,769,461.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,590,864 : 674,888,146 = 674,888,146 : x
  2. Step 2: Convert to fraction form
    311,590,864/674,888,146 = 674,888,146/x
  3. Step 3: Cross multiply
    311,590,864x = 674,888,146 × 674,888,146
  4. Step 4: Simplify right side
    311,590,864x = 455,474,009,611,317,312
  5. Step 5: Solve for x
    x = 455,474,009,611,317,312/311,590,864
  6. Step 6: Final answer
    x = 1,461,769,461.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.