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Finding the Third Proportional to 129,273,408 and 276,460,128

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Solution

The third proportional to 129,273,408 and 276,460,128 is: 591,229,113.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,273,408 : 276,460,128 = 276,460,128 : x
  2. Step 2: Convert to fraction form
    129,273,408/276,460,128 = 276,460,128/x
  3. Step 3: Cross multiply
    129,273,408x = 276,460,128 × 276,460,128
  4. Step 4: Simplify right side
    129,273,408x = 76,430,202,373,776,384
  5. Step 5: Solve for x
    x = 76,430,202,373,776,384/129,273,408
  6. Step 6: Final answer
    x = 591,229,113.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.