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Finding the Third Proportional to 105,122.25 and 163,220.63

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Solution

The third proportional to 105,122.25 and 163,220.63 is: 253,428.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,122.25 : 163,220.63 = 163,220.63 : x
  2. Step 2: Convert to fraction form
    105,122.25/163,220.63 = 163,220.63/x
  3. Step 3: Cross multiply
    105,122.25x = 163,220.63 × 163,220.63
  4. Step 4: Simplify right side
    105,122.25x = 26,640,972,425.39
  5. Step 5: Solve for x
    x = 26,640,972,425.39/105,122.25
  6. Step 6: Final answer
    x = 253,428.48

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1.5x scale

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.