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Finding the Third Proportional to 161,178 and 354,516

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Solution

The third proportional to 161,178 and 354,516 is: 779,768.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,178 : 354,516 = 354,516 : x
  2. Step 2: Convert to fraction form
    161,178/354,516 = 354,516/x
  3. Step 3: Cross multiply
    161,178x = 354,516 × 354,516
  4. Step 4: Simplify right side
    161,178x = 125,681,594,256
  5. Step 5: Solve for x
    x = 125,681,594,256/161,178
  6. Step 6: Final answer
    x = 779,768.92

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.