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Finding the Third Proportional to 139,392 and 296,765

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Solution

The third proportional to 139,392 and 296,765 is: 631,811.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,392 : 296,765 = 296,765 : x
  2. Step 2: Convert to fraction form
    139,392/296,765 = 296,765/x
  3. Step 3: Cross multiply
    139,392x = 296,765 × 296,765
  4. Step 4: Simplify right side
    139,392x = 88,069,465,225
  5. Step 5: Solve for x
    x = 88,069,465,225/139,392
  6. Step 6: Final answer
    x = 631,811.48

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.