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Finding the Third Proportional to 84,752 and 129,408

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Solution

The third proportional to 84,752 and 129,408 is: 197,593.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,752 : 129,408 = 129,408 : x
  2. Step 2: Convert to fraction form
    84,752/129,408 = 129,408/x
  3. Step 3: Cross multiply
    84,752x = 129,408 × 129,408
  4. Step 4: Simplify right side
    84,752x = 16,746,430,464
  5. Step 5: Solve for x
    x = 16,746,430,464/84,752
  6. Step 6: Final answer
    x = 197,593.34

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.