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Finding the Third Proportional to 302,003 and 442,853

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Solution

The third proportional to 302,003 and 442,853 is: 649,393.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,003 : 442,853 = 442,853 : x
  2. Step 2: Convert to fraction form
    302,003/442,853 = 442,853/x
  3. Step 3: Cross multiply
    302,003x = 442,853 × 442,853
  4. Step 4: Simplify right side
    302,003x = 196,118,779,609
  5. Step 5: Solve for x
    x = 196,118,779,609/302,003
  6. Step 6: Final answer
    x = 649,393.48

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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.