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Finding the Third Proportional to 476,192 and 720,432

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Solution

The third proportional to 476,192 and 720,432 is: 1,089,943.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,192 : 720,432 = 720,432 : x
  2. Step 2: Convert to fraction form
    476,192/720,432 = 720,432/x
  3. Step 3: Cross multiply
    476,192x = 720,432 × 720,432
  4. Step 4: Simplify right side
    476,192x = 519,022,266,624
  5. Step 5: Solve for x
    x = 519,022,266,624/476,192
  6. Step 6: Final answer
    x = 1,089,943.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.