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Finding the Third Proportional to 165,913 and 255,160.50

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Solution

The third proportional to 165,913 and 255,160.50 is: 392,415.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,913 : 255,160.50 = 255,160.50 : x
  2. Step 2: Convert to fraction form
    165,913/255,160.50 = 255,160.50/x
  3. Step 3: Cross multiply
    165,913x = 255,160.50 × 255,160.50
  4. Step 4: Simplify right side
    165,913x = 65,106,880,760.25
  5. Step 5: Solve for x
    x = 65,106,880,760.25/165,913
  6. Step 6: Final answer
    x = 392,415.79

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.