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Finding the Third Proportional to 142,605 and 302,721

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Solution

The third proportional to 142,605 and 302,721 is: 642,614.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,605 : 302,721 = 302,721 : x
  2. Step 2: Convert to fraction form
    142,605/302,721 = 302,721/x
  3. Step 3: Cross multiply
    142,605x = 302,721 × 302,721
  4. Step 4: Simplify right side
    142,605x = 91,640,003,841
  5. Step 5: Solve for x
    x = 91,640,003,841/142,605
  6. Step 6: Final answer
    x = 642,614.24

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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.