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Finding the Third Proportional to 120,779,760,664 and 180,122,253,160

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Solution

The third proportional to 120,779,760,664 and 180,122,253,160 is: 268,621,380,809.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,779,760,664 : 180,122,253,160 = 180,122,253,160 : x
  2. Step 2: Convert to fraction form
    120,779,760,664/180,122,253,160 = 180,122,253,160/x
  3. Step 3: Cross multiply
    120,779,760,664x = 180,122,253,160 × 180,122,253,160
  4. Step 4: Simplify right side
    120,779,760,664x = 32,444,026,083,435,131,961,344
  5. Step 5: Solve for x
    x = 32,444,026,083,435,131,961,344/120,779,760,664
  6. Step 6: Final answer
    x = 268,621,380,809.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.