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Finding the Third Proportional to 269,378 and 392,220

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Solution

The third proportional to 269,378 and 392,220 is: 571,080.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,378 : 392,220 = 392,220 : x
  2. Step 2: Convert to fraction form
    269,378/392,220 = 392,220/x
  3. Step 3: Cross multiply
    269,378x = 392,220 × 392,220
  4. Step 4: Simplify right side
    269,378x = 153,836,528,400
  5. Step 5: Solve for x
    x = 153,836,528,400/269,378
  6. Step 6: Final answer
    x = 571,080.52

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.