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Finding the Third Proportional to 39,808 and 83,440

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Solution

The third proportional to 39,808 and 83,440 is: 174,895.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,808 : 83,440 = 83,440 : x
  2. Step 2: Convert to fraction form
    39,808/83,440 = 83,440/x
  3. Step 3: Cross multiply
    39,808x = 83,440 × 83,440
  4. Step 4: Simplify right side
    39,808x = 6,962,233,600
  5. Step 5: Solve for x
    x = 6,962,233,600/39,808
  6. Step 6: Final answer
    x = 174,895.34

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.