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Finding the Third Proportional to 269,842 and 389,840

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Solution

The third proportional to 269,842 and 389,840 is: 563,200.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,842 : 389,840 = 389,840 : x
  2. Step 2: Convert to fraction form
    269,842/389,840 = 389,840/x
  3. Step 3: Cross multiply
    269,842x = 389,840 × 389,840
  4. Step 4: Simplify right side
    269,842x = 151,975,225,600
  5. Step 5: Solve for x
    x = 151,975,225,600/269,842
  6. Step 6: Final answer
    x = 563,200.78

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.