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Finding the Third Proportional to 476,178 and 720,411

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Solution

The third proportional to 476,178 and 720,411 is: 1,089,911.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,178 : 720,411 = 720,411 : x
  2. Step 2: Convert to fraction form
    476,178/720,411 = 720,411/x
  3. Step 3: Cross multiply
    476,178x = 720,411 × 720,411
  4. Step 4: Simplify right side
    476,178x = 518,992,008,921
  5. Step 5: Solve for x
    x = 518,992,008,921/476,178
  6. Step 6: Final answer
    x = 1,089,911.77

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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.