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Finding the Third Proportional to 136,410 and 210,447

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Solution

The third proportional to 136,410 and 210,447 is: 324,667.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,410 : 210,447 = 210,447 : x
  2. Step 2: Convert to fraction form
    136,410/210,447 = 210,447/x
  3. Step 3: Cross multiply
    136,410x = 210,447 × 210,447
  4. Step 4: Simplify right side
    136,410x = 44,287,939,809
  5. Step 5: Solve for x
    x = 44,287,939,809/136,410
  6. Step 6: Final answer
    x = 324,667.84

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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.