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Finding the Third Proportional to 207,140 and 435,192

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Solution

The third proportional to 207,140 and 435,192 is: 914,319.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,140 : 435,192 = 435,192 : x
  2. Step 2: Convert to fraction form
    207,140/435,192 = 435,192/x
  3. Step 3: Cross multiply
    207,140x = 435,192 × 435,192
  4. Step 4: Simplify right side
    207,140x = 189,392,076,864
  5. Step 5: Solve for x
    x = 189,392,076,864/207,140
  6. Step 6: Final answer
    x = 914,319.19

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.