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Finding the Third Proportional to 423,342 and 603,481

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Solution

The third proportional to 423,342 and 603,481 is: 860,272.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,342 : 603,481 = 603,481 : x
  2. Step 2: Convert to fraction form
    423,342/603,481 = 603,481/x
  3. Step 3: Cross multiply
    423,342x = 603,481 × 603,481
  4. Step 4: Simplify right side
    423,342x = 364,189,317,361
  5. Step 5: Solve for x
    x = 364,189,317,361/423,342
  6. Step 6: Final answer
    x = 860,272.11

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.