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Finding the Third Proportional to 53,890 and 81,580.50

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Solution

The third proportional to 53,890 and 81,580.50 is: 123,499.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,890 : 81,580.50 = 81,580.50 : x
  2. Step 2: Convert to fraction form
    53,890/81,580.50 = 81,580.50/x
  3. Step 3: Cross multiply
    53,890x = 81,580.50 × 81,580.50
  4. Step 4: Simplify right side
    53,890x = 6,655,377,980.25
  5. Step 5: Solve for x
    x = 6,655,377,980.25/53,890
  6. Step 6: Final answer
    x = 123,499.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.