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Finding the Third Proportional to 65,788.50 and 90,477

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Solution

The third proportional to 65,788.50 and 90,477 is: 124,430.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,788.50 : 90,477 = 90,477 : x
  2. Step 2: Convert to fraction form
    65,788.50/90,477 = 90,477/x
  3. Step 3: Cross multiply
    65,788.50x = 90,477 × 90,477
  4. Step 4: Simplify right side
    65,788.50x = 8,186,087,529
  5. Step 5: Solve for x
    x = 8,186,087,529/65,788.50
  6. Step 6: Final answer
    x = 124,430.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.