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Finding the Third Proportional to 135,237 and 210,510

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Solution

The third proportional to 135,237 and 210,510 is: 327,680.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,237 : 210,510 = 210,510 : x
  2. Step 2: Convert to fraction form
    135,237/210,510 = 210,510/x
  3. Step 3: Cross multiply
    135,237x = 210,510 × 210,510
  4. Step 4: Simplify right side
    135,237x = 44,314,460,100
  5. Step 5: Solve for x
    x = 44,314,460,100/135,237
  6. Step 6: Final answer
    x = 327,680.00

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.