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Finding the Third Proportional to 127,640.25 and 265,783.50

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Solution

The third proportional to 127,640.25 and 265,783.50 is: 553,437.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,640.25 : 265,783.50 = 265,783.50 : x
  2. Step 2: Convert to fraction form
    127,640.25/265,783.50 = 265,783.50/x
  3. Step 3: Cross multiply
    127,640.25x = 265,783.50 × 265,783.50
  4. Step 4: Simplify right side
    127,640.25x = 70,640,868,872.25
  5. Step 5: Solve for x
    x = 70,640,868,872.25/127,640.25
  6. Step 6: Final answer
    x = 553,437.25

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.