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Finding the Third Proportional to 61,928 and 90,297

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Solution

The third proportional to 61,928 and 90,297 is: 131,661.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,928 : 90,297 = 90,297 : x
  2. Step 2: Convert to fraction form
    61,928/90,297 = 90,297/x
  3. Step 3: Cross multiply
    61,928x = 90,297 × 90,297
  4. Step 4: Simplify right side
    61,928x = 8,153,548,209
  5. Step 5: Solve for x
    x = 8,153,548,209/61,928
  6. Step 6: Final answer
    x = 131,661.74

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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.