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Finding the Third Proportional to 302,718 and 642,342

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Solution

The third proportional to 302,718 and 642,342 is: 1,362,995.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,718 : 642,342 = 642,342 : x
  2. Step 2: Convert to fraction form
    302,718/642,342 = 642,342/x
  3. Step 3: Cross multiply
    302,718x = 642,342 × 642,342
  4. Step 4: Simplify right side
    302,718x = 412,603,244,964
  5. Step 5: Solve for x
    x = 412,603,244,964/302,718
  6. Step 6: Final answer
    x = 1,362,995.41

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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.