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Finding the Third Proportional to 249,735 and 382,936.50

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Solution

The third proportional to 249,735 and 382,936.50 is: 587,183.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,735 : 382,936.50 = 382,936.50 : x
  2. Step 2: Convert to fraction form
    249,735/382,936.50 = 382,936.50/x
  3. Step 3: Cross multiply
    249,735x = 382,936.50 × 382,936.50
  4. Step 4: Simplify right side
    249,735x = 146,640,363,032.25
  5. Step 5: Solve for x
    x = 146,640,363,032.25/249,735
  6. Step 6: Final answer
    x = 587,183.87

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.