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Finding the Third Proportional to 143,365,440 and 312,764,929

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Solution

The third proportional to 143,365,440 and 312,764,929 is: 682,325,536.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,365,440 : 312,764,929 = 312,764,929 : x
  2. Step 2: Convert to fraction form
    143,365,440/312,764,929 = 312,764,929/x
  3. Step 3: Cross multiply
    143,365,440x = 312,764,929 × 312,764,929
  4. Step 4: Simplify right side
    143,365,440x = 97,821,900,812,375,040
  5. Step 5: Solve for x
    x = 97,821,900,812,375,040/143,365,440
  6. Step 6: Final answer
    x = 682,325,536.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.