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Finding the Third Proportional to 345,048 and 475,140

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Solution

The third proportional to 345,048 and 475,140 is: 654,280.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,048 : 475,140 = 475,140 : x
  2. Step 2: Convert to fraction form
    345,048/475,140 = 475,140/x
  3. Step 3: Cross multiply
    345,048x = 475,140 × 475,140
  4. Step 4: Simplify right side
    345,048x = 225,758,019,600
  5. Step 5: Solve for x
    x = 225,758,019,600/345,048
  6. Step 6: Final answer
    x = 654,280.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.