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Finding the Third Proportional to 623,392 and 911,760

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Solution

The third proportional to 623,392 and 911,760 is: 1,333,520.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,392 : 911,760 = 911,760 : x
  2. Step 2: Convert to fraction form
    623,392/911,760 = 911,760/x
  3. Step 3: Cross multiply
    623,392x = 911,760 × 911,760
  4. Step 4: Simplify right side
    623,392x = 831,306,297,600
  5. Step 5: Solve for x
    x = 831,306,297,600/623,392
  6. Step 6: Final answer
    x = 1,333,520.96

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.