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Finding the Third Proportional to 53,516 and 85,485

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Solution

The third proportional to 53,516 and 85,485 is: 136,551.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,516 : 85,485 = 85,485 : x
  2. Step 2: Convert to fraction form
    53,516/85,485 = 85,485/x
  3. Step 3: Cross multiply
    53,516x = 85,485 × 85,485
  4. Step 4: Simplify right side
    53,516x = 7,307,685,225
  5. Step 5: Solve for x
    x = 7,307,685,225/53,516
  6. Step 6: Final answer
    x = 136,551.41

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.