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Finding the Third Proportional to 53,077.50 and 115,999.50

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Solution

The third proportional to 53,077.50 and 115,999.50 is: 253,513.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,077.50 : 115,999.50 = 115,999.50 : x
  2. Step 2: Convert to fraction form
    53,077.50/115,999.50 = 115,999.50/x
  3. Step 3: Cross multiply
    53,077.50x = 115,999.50 × 115,999.50
  4. Step 4: Simplify right side
    53,077.50x = 13,455,884,000.25
  5. Step 5: Solve for x
    x = 13,455,884,000.25/53,077.50
  6. Step 6: Final answer
    x = 253,513.90

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.