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Finding the Third Proportional to 339,030 and 525,285

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Solution

The third proportional to 339,030 and 525,285 is: 813,864.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,030 : 525,285 = 525,285 : x
  2. Step 2: Convert to fraction form
    339,030/525,285 = 525,285/x
  3. Step 3: Cross multiply
    339,030x = 525,285 × 525,285
  4. Step 4: Simplify right side
    339,030x = 275,924,331,225
  5. Step 5: Solve for x
    x = 275,924,331,225/339,030
  6. Step 6: Final answer
    x = 813,864.06

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.