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Finding the Third Proportional to 142,022 and 312,070

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Solution

The third proportional to 142,022 and 312,070 is: 685,722.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,022 : 312,070 = 312,070 : x
  2. Step 2: Convert to fraction form
    142,022/312,070 = 312,070/x
  3. Step 3: Cross multiply
    142,022x = 312,070 × 312,070
  4. Step 4: Simplify right side
    142,022x = 97,387,684,900
  5. Step 5: Solve for x
    x = 97,387,684,900/142,022
  6. Step 6: Final answer
    x = 685,722.53

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.