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Finding the Third Proportional to 427,740.75 and 572,401.69

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Solution

The third proportional to 427,740.75 and 572,401.69 is: 765,986.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,740.75 : 572,401.69 = 572,401.69 : x
  2. Step 2: Convert to fraction form
    427,740.75/572,401.69 = 572,401.69/x
  3. Step 3: Cross multiply
    427,740.75x = 572,401.69 × 572,401.69
  4. Step 4: Simplify right side
    427,740.75x = 327,643,691,852.85
  5. Step 5: Solve for x
    x = 327,643,691,852.85/427,740.75
  6. Step 6: Final answer
    x = 765,986.62

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.