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Finding the Third Proportional to 209,178 and 429,480

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Solution

The third proportional to 209,178 and 429,480 is: 881,799.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,178 : 429,480 = 429,480 : x
  2. Step 2: Convert to fraction form
    209,178/429,480 = 429,480/x
  3. Step 3: Cross multiply
    209,178x = 429,480 × 429,480
  4. Step 4: Simplify right side
    209,178x = 184,453,070,400
  5. Step 5: Solve for x
    x = 184,453,070,400/209,178
  6. Step 6: Final answer
    x = 881,799.57

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.