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Finding the Third Proportional to 145,950 and 314,415

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Solution

The third proportional to 145,950 and 314,415 is: 677,333.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,950 : 314,415 = 314,415 : x
  2. Step 2: Convert to fraction form
    145,950/314,415 = 314,415/x
  3. Step 3: Cross multiply
    145,950x = 314,415 × 314,415
  4. Step 4: Simplify right side
    145,950x = 98,856,792,225
  5. Step 5: Solve for x
    x = 98,856,792,225/145,950
  6. Step 6: Final answer
    x = 677,333.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.