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Finding the Third Proportional to 178,006.50 and 387,369

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Solution

The third proportional to 178,006.50 and 387,369 is: 842,973.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,006.50 : 387,369 = 387,369 : x
  2. Step 2: Convert to fraction form
    178,006.50/387,369 = 387,369/x
  3. Step 3: Cross multiply
    178,006.50x = 387,369 × 387,369
  4. Step 4: Simplify right side
    178,006.50x = 150,054,742,161
  5. Step 5: Solve for x
    x = 150,054,742,161/178,006.50
  6. Step 6: Final answer
    x = 842,973.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.