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Finding the Third Proportional to 423,751 and 628,295

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Solution

The third proportional to 423,751 and 628,295 is: 931,572.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,751 : 628,295 = 628,295 : x
  2. Step 2: Convert to fraction form
    423,751/628,295 = 628,295/x
  3. Step 3: Cross multiply
    423,751x = 628,295 × 628,295
  4. Step 4: Simplify right side
    423,751x = 394,754,607,025
  5. Step 5: Solve for x
    x = 394,754,607,025/423,751
  6. Step 6: Final answer
    x = 931,572.10

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.