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Finding the Third Proportional to 39,570 and 85,284

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Solution

The third proportional to 39,570 and 85,284 is: 183,809.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,570 : 85,284 = 85,284 : x
  2. Step 2: Convert to fraction form
    39,570/85,284 = 85,284/x
  3. Step 3: Cross multiply
    39,570x = 85,284 × 85,284
  4. Step 4: Simplify right side
    39,570x = 7,273,360,656
  5. Step 5: Solve for x
    x = 7,273,360,656/39,570
  6. Step 6: Final answer
    x = 183,809.97

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.