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Finding the Third Proportional to 290,304 and 435,456

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Solution

The third proportional to 290,304 and 435,456 is: 653,184

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,304 : 435,456 = 435,456 : x
  2. Step 2: Convert to fraction form
    290,304/435,456 = 435,456/x
  3. Step 3: Cross multiply
    290,304x = 435,456 × 435,456
  4. Step 4: Simplify right side
    290,304x = 189,621,927,936
  5. Step 5: Solve for x
    x = 189,621,927,936/290,304
  6. Step 6: Final answer
    x = 653,184

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.