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Finding the Third Proportional to 476,160 and 720,384

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Solution

The third proportional to 476,160 and 720,384 is: 1,089,871.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,160 : 720,384 = 720,384 : x
  2. Step 2: Convert to fraction form
    476,160/720,384 = 720,384/x
  3. Step 3: Cross multiply
    476,160x = 720,384 × 720,384
  4. Step 4: Simplify right side
    476,160x = 518,953,107,456
  5. Step 5: Solve for x
    x = 518,953,107,456/476,160
  6. Step 6: Final answer
    x = 1,089,871.28

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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.