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Finding the Third Proportional to 450,306 and 690,435

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Solution

The third proportional to 450,306 and 690,435 is: 1,058,614.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,306 : 690,435 = 690,435 : x
  2. Step 2: Convert to fraction form
    450,306/690,435 = 690,435/x
  3. Step 3: Cross multiply
    450,306x = 690,435 × 690,435
  4. Step 4: Simplify right side
    450,306x = 476,700,489,225
  5. Step 5: Solve for x
    x = 476,700,489,225/450,306
  6. Step 6: Final answer
    x = 1,058,614.56

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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.