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Finding the Third Proportional to 257,706 and 385,368.75

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Solution

The third proportional to 257,706 and 385,368.75 is: 576,273.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,706 : 385,368.75 = 385,368.75 : x
  2. Step 2: Convert to fraction form
    257,706/385,368.75 = 385,368.75/x
  3. Step 3: Cross multiply
    257,706x = 385,368.75 × 385,368.75
  4. Step 4: Simplify right side
    257,706x = 148,509,073,476.56
  5. Step 5: Solve for x
    x = 148,509,073,476.56/257,706
  6. Step 6: Final answer
    x = 576,273.25

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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.