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Finding the Third Proportional to 435,666 and 666,315

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Solution

The third proportional to 435,666 and 666,315 is: 1,019,073.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,666 : 666,315 = 666,315 : x
  2. Step 2: Convert to fraction form
    435,666/666,315 = 666,315/x
  3. Step 3: Cross multiply
    435,666x = 666,315 × 666,315
  4. Step 4: Simplify right side
    435,666x = 443,975,679,225
  5. Step 5: Solve for x
    x = 443,975,679,225/435,666
  6. Step 6: Final answer
    x = 1,019,073.51

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.