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Finding the Third Proportional to 142,214 and 304,670

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Solution

The third proportional to 142,214 and 304,670 is: 652,705.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,214 : 304,670 = 304,670 : x
  2. Step 2: Convert to fraction form
    142,214/304,670 = 304,670/x
  3. Step 3: Cross multiply
    142,214x = 304,670 × 304,670
  4. Step 4: Simplify right side
    142,214x = 92,823,808,900
  5. Step 5: Solve for x
    x = 92,823,808,900/142,214
  6. Step 6: Final answer
    x = 652,705.14

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.