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Finding the Third Proportional to 257,999 and 379,415

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Solution

The third proportional to 257,999 and 379,415 is: 557,970.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,999 : 379,415 = 379,415 : x
  2. Step 2: Convert to fraction form
    257,999/379,415 = 379,415/x
  3. Step 3: Cross multiply
    257,999x = 379,415 × 379,415
  4. Step 4: Simplify right side
    257,999x = 143,955,742,225
  5. Step 5: Solve for x
    x = 143,955,742,225/257,999
  6. Step 6: Final answer
    x = 557,970.16

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.