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Finding the Third Proportional to 139,534 and 208,754

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Solution

The third proportional to 139,534 and 208,754 is: 312,312.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,534 : 208,754 = 208,754 : x
  2. Step 2: Convert to fraction form
    139,534/208,754 = 208,754/x
  3. Step 3: Cross multiply
    139,534x = 208,754 × 208,754
  4. Step 4: Simplify right side
    139,534x = 43,578,232,516
  5. Step 5: Solve for x
    x = 43,578,232,516/139,534
  6. Step 6: Final answer
    x = 312,312.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.