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Finding the Third Proportional to 98,415 and 203,391

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Solution

The third proportional to 98,415 and 203,391 is: 420,341.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,415 : 203,391 = 203,391 : x
  2. Step 2: Convert to fraction form
    98,415/203,391 = 203,391/x
  3. Step 3: Cross multiply
    98,415x = 203,391 × 203,391
  4. Step 4: Simplify right side
    98,415x = 41,367,898,881
  5. Step 5: Solve for x
    x = 41,367,898,881/98,415
  6. Step 6: Final answer
    x = 420,341.40

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.