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Finding the Third Proportional to 105,711.75 and 144,959.63

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Solution

The third proportional to 105,711.75 and 144,959.63 is: 198,779.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,711.75 : 144,959.63 = 144,959.63 : x
  2. Step 2: Convert to fraction form
    105,711.75/144,959.63 = 144,959.63/x
  3. Step 3: Cross multiply
    105,711.75x = 144,959.63 × 144,959.63
  4. Step 4: Simplify right side
    105,711.75x = 21,013,292,880.14
  5. Step 5: Solve for x
    x = 21,013,292,880.14/105,711.75
  6. Step 6: Final answer
    x = 198,779.16

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.