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Finding the Third Proportional to 61,710 and 90,225

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Solution

The third proportional to 61,710 and 90,225 is: 131,916.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,710 : 90,225 = 90,225 : x
  2. Step 2: Convert to fraction form
    61,710/90,225 = 90,225/x
  3. Step 3: Cross multiply
    61,710x = 90,225 × 90,225
  4. Step 4: Simplify right side
    61,710x = 8,140,550,625
  5. Step 5: Solve for x
    x = 8,140,550,625/61,710
  6. Step 6: Final answer
    x = 131,916.23

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.