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Finding the Third Proportional to 257,217.75 and 390,955.50

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Solution

The third proportional to 257,217.75 and 390,955.50 is: 594,228.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,217.75 : 390,955.50 = 390,955.50 : x
  2. Step 2: Convert to fraction form
    257,217.75/390,955.50 = 390,955.50/x
  3. Step 3: Cross multiply
    257,217.75x = 390,955.50 × 390,955.50
  4. Step 4: Simplify right side
    257,217.75x = 152,846,202,980.25
  5. Step 5: Solve for x
    x = 152,846,202,980.25/257,217.75
  6. Step 6: Final answer
    x = 594,228.83

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.