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Finding the Third Proportional to 136,452 and 210,510

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Solution

The third proportional to 136,452 and 210,510 is: 324,762.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,452 : 210,510 = 210,510 : x
  2. Step 2: Convert to fraction form
    136,452/210,510 = 210,510/x
  3. Step 3: Cross multiply
    136,452x = 210,510 × 210,510
  4. Step 4: Simplify right side
    136,452x = 44,314,460,100
  5. Step 5: Solve for x
    x = 44,314,460,100/136,452
  6. Step 6: Final answer
    x = 324,762.26

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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.