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Finding the Third Proportional to 39,428 and 57,984

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Solution

The third proportional to 39,428 and 57,984 is: 85,273.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,428 : 57,984 = 57,984 : x
  2. Step 2: Convert to fraction form
    39,428/57,984 = 57,984/x
  3. Step 3: Cross multiply
    39,428x = 57,984 × 57,984
  4. Step 4: Simplify right side
    39,428x = 3,362,144,256
  5. Step 5: Solve for x
    x = 3,362,144,256/39,428
  6. Step 6: Final answer
    x = 85,273.01

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.