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Finding the Third Proportional to 53,902.13 and 118,810.13

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Solution

The third proportional to 53,902.13 and 118,810.13 is: 261,879.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,902.13 : 118,810.13 = 118,810.13 : x
  2. Step 2: Convert to fraction form
    53,902.13/118,810.13 = 118,810.13/x
  3. Step 3: Cross multiply
    53,902.13x = 118,810.13 × 118,810.13
  4. Step 4: Simplify right side
    53,902.13x = 14,115,845,802.52
  5. Step 5: Solve for x
    x = 14,115,845,802.52/53,902.13
  6. Step 6: Final answer
    x = 261,879.21

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.