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Finding the Third Proportional to 288,443 and 626,641

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Solution

The third proportional to 288,443 and 626,641 is: 1,361,374.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,443 : 626,641 = 626,641 : x
  2. Step 2: Convert to fraction form
    288,443/626,641 = 626,641/x
  3. Step 3: Cross multiply
    288,443x = 626,641 × 626,641
  4. Step 4: Simplify right side
    288,443x = 392,678,942,881
  5. Step 5: Solve for x
    x = 392,678,942,881/288,443
  6. Step 6: Final answer
    x = 1,361,374.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.