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Finding the Third Proportional to 478,944 and 751,320

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Solution

The third proportional to 478,944 and 751,320 is: 1,178,596.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,944 : 751,320 = 751,320 : x
  2. Step 2: Convert to fraction form
    478,944/751,320 = 751,320/x
  3. Step 3: Cross multiply
    478,944x = 751,320 × 751,320
  4. Step 4: Simplify right side
    478,944x = 564,481,742,400
  5. Step 5: Solve for x
    x = 564,481,742,400/478,944
  6. Step 6: Final answer
    x = 1,178,596.54

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.