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Finding the Third Proportional to 39,440 and 85,792

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Solution

The third proportional to 39,440 and 85,792 is: 186,619.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,440 : 85,792 = 85,792 : x
  2. Step 2: Convert to fraction form
    39,440/85,792 = 85,792/x
  3. Step 3: Cross multiply
    39,440x = 85,792 × 85,792
  4. Step 4: Simplify right side
    39,440x = 7,360,267,264
  5. Step 5: Solve for x
    x = 7,360,267,264/39,440
  6. Step 6: Final answer
    x = 186,619.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.