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Finding the Third Proportional to 53,688 and 121,295

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Solution

The third proportional to 53,688 and 121,295 is: 274,036.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,688 : 121,295 = 121,295 : x
  2. Step 2: Convert to fraction form
    53,688/121,295 = 121,295/x
  3. Step 3: Cross multiply
    53,688x = 121,295 × 121,295
  4. Step 4: Simplify right side
    53,688x = 14,712,477,025
  5. Step 5: Solve for x
    x = 14,712,477,025/53,688
  6. Step 6: Final answer
    x = 274,036.60

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.