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Finding the Third Proportional to 433,503 and 690,387

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Solution

The third proportional to 433,503 and 690,387 is: 1,099,494.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,503 : 690,387 = 690,387 : x
  2. Step 2: Convert to fraction form
    433,503/690,387 = 690,387/x
  3. Step 3: Cross multiply
    433,503x = 690,387 × 690,387
  4. Step 4: Simplify right side
    433,503x = 476,634,209,769
  5. Step 5: Solve for x
    x = 476,634,209,769/433,503
  6. Step 6: Final answer
    x = 1,099,494.61

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.