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Finding the Third Proportional to 143,150,745,432 and 311,434,488,986

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Solution

The third proportional to 143,150,745,432 and 311,434,488,986 is: 677,547,578,514.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,150,745,432 : 311,434,488,986 = 311,434,488,986 : x
  2. Step 2: Convert to fraction form
    143,150,745,432/311,434,488,986 = 311,434,488,986/x
  3. Step 3: Cross multiply
    143,150,745,432x = 311,434,488,986 × 311,434,488,986
  4. Step 4: Simplify right side
    143,150,745,432x = 96,991,440,929,970,959,941,632
  5. Step 5: Solve for x
    x = 96,991,440,929,970,959,941,632/143,150,745,432
  6. Step 6: Final answer
    x = 677,547,578,514.32

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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.