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Finding the Third Proportional to 136,308 and 279,415.50

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Solution

The third proportional to 136,308 and 279,415.50 is: 572,769.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,308 : 279,415.50 = 279,415.50 : x
  2. Step 2: Convert to fraction form
    136,308/279,415.50 = 279,415.50/x
  3. Step 3: Cross multiply
    136,308x = 279,415.50 × 279,415.50
  4. Step 4: Simplify right side
    136,308x = 78,073,021,640.25
  5. Step 5: Solve for x
    x = 78,073,021,640.25/136,308
  6. Step 6: Final answer
    x = 572,769.18

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.