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Finding the Third Proportional to 143,150,745,438 and 311,434,488,999

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Solution

The third proportional to 143,150,745,438 and 311,434,488,999 is: 677,547,578,542.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,150,745,438 : 311,434,488,999 = 311,434,488,999 : x
  2. Step 2: Convert to fraction form
    143,150,745,438/311,434,488,999 = 311,434,488,999/x
  3. Step 3: Cross multiply
    143,150,745,438x = 311,434,488,999 × 311,434,488,999
  4. Step 4: Simplify right side
    143,150,745,438x = 96,991,440,938,068,248,363,008
  5. Step 5: Solve for x
    x = 96,991,440,938,068,248,363,008/143,150,745,438
  6. Step 6: Final answer
    x = 677,547,578,542.48

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