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Finding the Third Proportional to 108,958,890,312 and 153,371,266,128

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Solution

The third proportional to 108,958,890,312 and 153,371,266,128 is: 215,886,424,745.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,958,890,312 : 153,371,266,128 = 153,371,266,128 : x
  2. Step 2: Convert to fraction form
    108,958,890,312/153,371,266,128 = 153,371,266,128/x
  3. Step 3: Cross multiply
    108,958,890,312x = 153,371,266,128 × 153,371,266,128
  4. Step 4: Simplify right side
    108,958,890,312x = 23,522,745,273,705,801,187,328
  5. Step 5: Solve for x
    x = 23,522,745,273,705,801,187,328/108,958,890,312
  6. Step 6: Final answer
    x = 215,886,424,745.60

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.