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Finding the Third Proportional to 259,255 and 348,706.50

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Solution

The third proportional to 259,255 and 348,706.50 is: 469,021.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,255 : 348,706.50 = 348,706.50 : x
  2. Step 2: Convert to fraction form
    259,255/348,706.50 = 348,706.50/x
  3. Step 3: Cross multiply
    259,255x = 348,706.50 × 348,706.50
  4. Step 4: Simplify right side
    259,255x = 121,596,223,142.25
  5. Step 5: Solve for x
    x = 121,596,223,142.25/259,255
  6. Step 6: Final answer
    x = 469,021.71

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.