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Finding the Third Proportional to 297,390 and 423,936

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Solution

The third proportional to 297,390 and 423,936 is: 604,330.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,390 : 423,936 = 423,936 : x
  2. Step 2: Convert to fraction form
    297,390/423,936 = 423,936/x
  3. Step 3: Cross multiply
    297,390x = 423,936 × 423,936
  4. Step 4: Simplify right side
    297,390x = 179,721,732,096
  5. Step 5: Solve for x
    x = 179,721,732,096/297,390
  6. Step 6: Final answer
    x = 604,330.11

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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.