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Finding the Third Proportional to 136,456 and 210,516

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Solution

The third proportional to 136,456 and 210,516 is: 324,771.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,456 : 210,516 = 210,516 : x
  2. Step 2: Convert to fraction form
    136,456/210,516 = 210,516/x
  3. Step 3: Cross multiply
    136,456x = 210,516 × 210,516
  4. Step 4: Simplify right side
    136,456x = 44,316,986,256
  5. Step 5: Solve for x
    x = 44,316,986,256/136,456
  6. Step 6: Final answer
    x = 324,771.25

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.