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Finding the Third Proportional to 142,274 and 302,070

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Solution

The third proportional to 142,274 and 302,070 is: 641,341.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,274 : 302,070 = 302,070 : x
  2. Step 2: Convert to fraction form
    142,274/302,070 = 302,070/x
  3. Step 3: Cross multiply
    142,274x = 302,070 × 302,070
  4. Step 4: Simplify right side
    142,274x = 91,246,284,900
  5. Step 5: Solve for x
    x = 91,246,284,900/142,274
  6. Step 6: Final answer
    x = 641,341.95

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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.