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Finding the Third Proportional to 142,362 and 302,283

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Solution

The third proportional to 142,362 and 302,283 is: 641,849.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,362 : 302,283 = 302,283 : x
  2. Step 2: Convert to fraction form
    142,362/302,283 = 302,283/x
  3. Step 3: Cross multiply
    142,362x = 302,283 × 302,283
  4. Step 4: Simplify right side
    142,362x = 91,375,012,089
  5. Step 5: Solve for x
    x = 91,375,012,089/142,362
  6. Step 6: Final answer
    x = 641,849.74

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.