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Finding the Third Proportional to 210,152 and 455,256

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Solution

The third proportional to 210,152 and 455,256 is: 986,229.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,152 : 455,256 = 455,256 : x
  2. Step 2: Convert to fraction form
    210,152/455,256 = 455,256/x
  3. Step 3: Cross multiply
    210,152x = 455,256 × 455,256
  4. Step 4: Simplify right side
    210,152x = 207,258,025,536
  5. Step 5: Solve for x
    x = 207,258,025,536/210,152
  6. Step 6: Final answer
    x = 986,229.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.