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Finding the Third Proportional to 53,336.25 and 77,809.50

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Solution

The third proportional to 53,336.25 and 77,809.50 is: 113,512.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,336.25 : 77,809.50 = 77,809.50 : x
  2. Step 2: Convert to fraction form
    53,336.25/77,809.50 = 77,809.50/x
  3. Step 3: Cross multiply
    53,336.25x = 77,809.50 × 77,809.50
  4. Step 4: Simplify right side
    53,336.25x = 6,054,318,290.25
  5. Step 5: Solve for x
    x = 6,054,318,290.25/53,336.25
  6. Step 6: Final answer
    x = 113,512.26

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.