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Finding the Third Proportional to 238,720 and 525,416

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Solution

The third proportional to 238,720 and 525,416 is: 1,156,425.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,720 : 525,416 = 525,416 : x
  2. Step 2: Convert to fraction form
    238,720/525,416 = 525,416/x
  3. Step 3: Cross multiply
    238,720x = 525,416 × 525,416
  4. Step 4: Simplify right side
    238,720x = 276,061,973,056
  5. Step 5: Solve for x
    x = 276,061,973,056/238,720
  6. Step 6: Final answer
    x = 1,156,425.83

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.