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Finding the Third Proportional to 142,240 and 302,581

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Solution

The third proportional to 142,240 and 302,581 is: 643,667.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,240 : 302,581 = 302,581 : x
  2. Step 2: Convert to fraction form
    142,240/302,581 = 302,581/x
  3. Step 3: Cross multiply
    142,240x = 302,581 × 302,581
  4. Step 4: Simplify right side
    142,240x = 91,555,261,561
  5. Step 5: Solve for x
    x = 91,555,261,561/142,240
  6. Step 6: Final answer
    x = 643,667.47

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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.