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Finding the Third Proportional to 268,320 and 424,520

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Solution

The third proportional to 268,320 and 424,520 is: 671,650.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,320 : 424,520 = 424,520 : x
  2. Step 2: Convert to fraction form
    268,320/424,520 = 424,520/x
  3. Step 3: Cross multiply
    268,320x = 424,520 × 424,520
  4. Step 4: Simplify right side
    268,320x = 180,217,230,400
  5. Step 5: Solve for x
    x = 180,217,230,400/268,320
  6. Step 6: Final answer
    x = 671,650.38

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.