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Finding the Third Proportional to 81,194,722 and 117,312,377

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Solution

The third proportional to 81,194,722 and 117,312,377 is: 169,496,162.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,194,722 : 117,312,377 = 117,312,377 : x
  2. Step 2: Convert to fraction form
    81,194,722/117,312,377 = 117,312,377/x
  3. Step 3: Cross multiply
    81,194,722x = 117,312,377 × 117,312,377
  4. Step 4: Simplify right side
    81,194,722x = 13,762,193,797,390,128
  5. Step 5: Solve for x
    x = 13,762,193,797,390,128/81,194,722
  6. Step 6: Final answer
    x = 169,496,162.54

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.