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Finding the Third Proportional to 187,509 and 290,415

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Solution

The third proportional to 187,509 and 290,415 is: 449,796.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,509 : 290,415 = 290,415 : x
  2. Step 2: Convert to fraction form
    187,509/290,415 = 290,415/x
  3. Step 3: Cross multiply
    187,509x = 290,415 × 290,415
  4. Step 4: Simplify right side
    187,509x = 84,340,872,225
  5. Step 5: Solve for x
    x = 84,340,872,225/187,509
  6. Step 6: Final answer
    x = 449,796.39

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.