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Finding the Third Proportional to 173,480 and 378,483

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Solution

The third proportional to 173,480 and 378,483 is: 825,740.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,480 : 378,483 = 378,483 : x
  2. Step 2: Convert to fraction form
    173,480/378,483 = 378,483/x
  3. Step 3: Cross multiply
    173,480x = 378,483 × 378,483
  4. Step 4: Simplify right side
    173,480x = 143,249,381,289
  5. Step 5: Solve for x
    x = 143,249,381,289/173,480
  6. Step 6: Final answer
    x = 825,740.04

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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.