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Finding the Third Proportional to 450,304 and 690,432

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Solution

The third proportional to 450,304 and 690,432 is: 1,058,610.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,304 : 690,432 = 690,432 : x
  2. Step 2: Convert to fraction form
    450,304/690,432 = 690,432/x
  3. Step 3: Cross multiply
    450,304x = 690,432 × 690,432
  4. Step 4: Simplify right side
    450,304x = 476,696,346,624
  5. Step 5: Solve for x
    x = 476,696,346,624/450,304
  6. Step 6: Final answer
    x = 1,058,610.06

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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.