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Finding the Third Proportional to 108,394,639,434 and 234,801,113,436

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Solution

The third proportional to 108,394,639,434 and 234,801,113,436 is: 508,618,905,498.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,394,639,434 : 234,801,113,436 = 234,801,113,436 : x
  2. Step 2: Convert to fraction form
    108,394,639,434/234,801,113,436 = 234,801,113,436/x
  3. Step 3: Cross multiply
    108,394,639,434x = 234,801,113,436 × 234,801,113,436
  4. Step 4: Simplify right side
    108,394,639,434x = 55,131,562,870,785,336,934,400
  5. Step 5: Solve for x
    x = 55,131,562,870,785,336,934,400/108,394,639,434
  6. Step 6: Final answer
    x = 508,618,905,498.13

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