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Finding the Third Proportional to 270,546 and 424,395

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Solution

The third proportional to 270,546 and 424,395 is: 665,731.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,546 : 424,395 = 424,395 : x
  2. Step 2: Convert to fraction form
    270,546/424,395 = 424,395/x
  3. Step 3: Cross multiply
    270,546x = 424,395 × 424,395
  4. Step 4: Simplify right side
    270,546x = 180,111,116,025
  5. Step 5: Solve for x
    x = 180,111,116,025/270,546
  6. Step 6: Final answer
    x = 665,731.95

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.