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Finding the Third Proportional to 206,070 and 439,358

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Solution

The third proportional to 206,070 and 439,358 is: 936,746.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,070 : 439,358 = 439,358 : x
  2. Step 2: Convert to fraction form
    206,070/439,358 = 439,358/x
  3. Step 3: Cross multiply
    206,070x = 439,358 × 439,358
  4. Step 4: Simplify right side
    206,070x = 193,035,452,164
  5. Step 5: Solve for x
    x = 193,035,452,164/206,070
  6. Step 6: Final answer
    x = 936,746.99

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.