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Finding the Third Proportional to 272,021 and 382,386

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Solution

The third proportional to 272,021 and 382,386 is: 537,528.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,021 : 382,386 = 382,386 : x
  2. Step 2: Convert to fraction form
    272,021/382,386 = 382,386/x
  3. Step 3: Cross multiply
    272,021x = 382,386 × 382,386
  4. Step 4: Simplify right side
    272,021x = 146,219,052,996
  5. Step 5: Solve for x
    x = 146,219,052,996/272,021
  6. Step 6: Final answer
    x = 537,528.55

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.