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Finding the Third Proportional to 434,330 and 660,350

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Solution

The third proportional to 434,330 and 660,350 is: 1,003,988.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,330 : 660,350 = 660,350 : x
  2. Step 2: Convert to fraction form
    434,330/660,350 = 660,350/x
  3. Step 3: Cross multiply
    434,330x = 660,350 × 660,350
  4. Step 4: Simplify right side
    434,330x = 436,062,122,500
  5. Step 5: Solve for x
    x = 436,062,122,500/434,330
  6. Step 6: Final answer
    x = 1,003,988.03

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.