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Finding the Third Proportional to 287,392 and 620,672

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Solution

The third proportional to 287,392 and 620,672 is: 1,340,446.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,392 : 620,672 = 620,672 : x
  2. Step 2: Convert to fraction form
    287,392/620,672 = 620,672/x
  3. Step 3: Cross multiply
    287,392x = 620,672 × 620,672
  4. Step 4: Simplify right side
    287,392x = 385,233,731,584
  5. Step 5: Solve for x
    x = 385,233,731,584/287,392
  6. Step 6: Final answer
    x = 1,340,446.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.