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Finding the Third Proportional to 289,642 and 404,637

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Solution

The third proportional to 289,642 and 404,637 is: 565,287.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,642 : 404,637 = 404,637 : x
  2. Step 2: Convert to fraction form
    289,642/404,637 = 404,637/x
  3. Step 3: Cross multiply
    289,642x = 404,637 × 404,637
  4. Step 4: Simplify right side
    289,642x = 163,731,101,769
  5. Step 5: Solve for x
    x = 163,731,101,769/289,642
  6. Step 6: Final answer
    x = 565,287.84

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.