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Finding the Third Proportional to 149,804 and 318,076

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Solution

The third proportional to 149,804 and 318,076 is: 675,364.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,804 : 318,076 = 318,076 : x
  2. Step 2: Convert to fraction form
    149,804/318,076 = 318,076/x
  3. Step 3: Cross multiply
    149,804x = 318,076 × 318,076
  4. Step 4: Simplify right side
    149,804x = 101,172,341,776
  5. Step 5: Solve for x
    x = 101,172,341,776/149,804
  6. Step 6: Final answer
    x = 675,364.76

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.