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Finding the Third Proportional to 57,402 and 90,504

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Solution

The third proportional to 57,402 and 90,504 is: 142,694.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,402 : 90,504 = 90,504 : x
  2. Step 2: Convert to fraction form
    57,402/90,504 = 90,504/x
  3. Step 3: Cross multiply
    57,402x = 90,504 × 90,504
  4. Step 4: Simplify right side
    57,402x = 8,190,974,016
  5. Step 5: Solve for x
    x = 8,190,974,016/57,402
  6. Step 6: Final answer
    x = 142,694.92

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.