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Finding the Third Proportional to 150,255 and 315,090

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Solution

The third proportional to 150,255 and 315,090 is: 660,754.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,255 : 315,090 = 315,090 : x
  2. Step 2: Convert to fraction form
    150,255/315,090 = 315,090/x
  3. Step 3: Cross multiply
    150,255x = 315,090 × 315,090
  4. Step 4: Simplify right side
    150,255x = 99,281,708,100
  5. Step 5: Solve for x
    x = 99,281,708,100/150,255
  6. Step 6: Final answer
    x = 660,754.77

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.