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Finding the Third Proportional to 257,960 and 350,303

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Solution

The third proportional to 257,960 and 350,303 is: 475,702.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,960 : 350,303 = 350,303 : x
  2. Step 2: Convert to fraction form
    257,960/350,303 = 350,303/x
  3. Step 3: Cross multiply
    257,960x = 350,303 × 350,303
  4. Step 4: Simplify right side
    257,960x = 122,712,191,809
  5. Step 5: Solve for x
    x = 122,712,191,809/257,960
  6. Step 6: Final answer
    x = 475,702.40

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.