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Finding the Third Proportional to 143,728 and 302,354

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Solution

The third proportional to 143,728 and 302,354 is: 636,048.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,728 : 302,354 = 302,354 : x
  2. Step 2: Convert to fraction form
    143,728/302,354 = 302,354/x
  3. Step 3: Cross multiply
    143,728x = 302,354 × 302,354
  4. Step 4: Simplify right side
    143,728x = 91,417,941,316
  5. Step 5: Solve for x
    x = 91,417,941,316/143,728
  6. Step 6: Final answer
    x = 636,048.24

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.