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Finding the Third Proportional to 210,960.50 and 455,660

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Solution

The third proportional to 210,960.50 and 455,660 is: 984,193.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,960.50 : 455,660 = 455,660 : x
  2. Step 2: Convert to fraction form
    210,960.50/455,660 = 455,660/x
  3. Step 3: Cross multiply
    210,960.50x = 455,660 × 455,660
  4. Step 4: Simplify right side
    210,960.50x = 207,626,035,600
  5. Step 5: Solve for x
    x = 207,626,035,600/210,960.50
  6. Step 6: Final answer
    x = 984,193.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.