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Finding the Third Proportional to 139,360 and 210,336

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Solution

The third proportional to 139,360 and 210,336 is: 317,460.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,360 : 210,336 = 210,336 : x
  2. Step 2: Convert to fraction form
    139,360/210,336 = 210,336/x
  3. Step 3: Cross multiply
    139,360x = 210,336 × 210,336
  4. Step 4: Simplify right side
    139,360x = 44,241,232,896
  5. Step 5: Solve for x
    x = 44,241,232,896/139,360
  6. Step 6: Final answer
    x = 317,460.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.