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Finding the Third Proportional to 311,933,457 and 675,880,881.75

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Solution

The third proportional to 311,933,457 and 675,880,881.75 is: 1,464,462,872.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,933,457 : 675,880,881.75 = 675,880,881.75 : x
  2. Step 2: Convert to fraction form
    311,933,457/675,880,881.75 = 675,880,881.75/x
  3. Step 3: Cross multiply
    311,933,457x = 675,880,881.75 × 675,880,881.75
  4. Step 4: Simplify right side
    311,933,457x = 456,814,966,315,157,504
  5. Step 5: Solve for x
    x = 456,814,966,315,157,504/311,933,457
  6. Step 6: Final answer
    x = 1,464,462,872.01

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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.