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Finding the Third Proportional to 302,007 and 442,859

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Solution

The third proportional to 302,007 and 442,859 is: 649,402.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,007 : 442,859 = 442,859 : x
  2. Step 2: Convert to fraction form
    302,007/442,859 = 442,859/x
  3. Step 3: Cross multiply
    302,007x = 442,859 × 442,859
  4. Step 4: Simplify right side
    302,007x = 196,124,093,881
  5. Step 5: Solve for x
    x = 196,124,093,881/302,007
  6. Step 6: Final answer
    x = 649,402.48

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.