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Finding the Third Proportional to 312,016.50 and 608,481

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Solution

The third proportional to 312,016.50 and 608,481 is: 1,186,633.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,016.50 : 608,481 = 608,481 : x
  2. Step 2: Convert to fraction form
    312,016.50/608,481 = 608,481/x
  3. Step 3: Cross multiply
    312,016.50x = 608,481 × 608,481
  4. Step 4: Simplify right side
    312,016.50x = 370,249,127,361
  5. Step 5: Solve for x
    x = 370,249,127,361/312,016.50
  6. Step 6: Final answer
    x = 1,186,633.17

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.