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Finding the Third Proportional to 143,046 and 304,572

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Solution

The third proportional to 143,046 and 304,572 is: 648,491.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,046 : 304,572 = 304,572 : x
  2. Step 2: Convert to fraction form
    143,046/304,572 = 304,572/x
  3. Step 3: Cross multiply
    143,046x = 304,572 × 304,572
  4. Step 4: Simplify right side
    143,046x = 92,764,103,184
  5. Step 5: Solve for x
    x = 92,764,103,184/143,046
  6. Step 6: Final answer
    x = 648,491.42

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.