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Finding the Third Proportional to 252,720 and 380,106

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Solution

The third proportional to 252,720 and 380,106 is: 571,702.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,720 : 380,106 = 380,106 : x
  2. Step 2: Convert to fraction form
    252,720/380,106 = 380,106/x
  3. Step 3: Cross multiply
    252,720x = 380,106 × 380,106
  4. Step 4: Simplify right side
    252,720x = 144,480,571,236
  5. Step 5: Solve for x
    x = 144,480,571,236/252,720
  6. Step 6: Final answer
    x = 571,702.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.