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Finding the Third Proportional to 177,408 and 387,944

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Solution

The third proportional to 177,408 and 387,944 is: 848,330.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,408 : 387,944 = 387,944 : x
  2. Step 2: Convert to fraction form
    177,408/387,944 = 387,944/x
  3. Step 3: Cross multiply
    177,408x = 387,944 × 387,944
  4. Step 4: Simplify right side
    177,408x = 150,500,547,136
  5. Step 5: Solve for x
    x = 150,500,547,136/177,408
  6. Step 6: Final answer
    x = 848,330.10

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.