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Finding the Third Proportional to 207,156 and 435,216

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Solution

The third proportional to 207,156 and 435,216 is: 914,349.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,156 : 435,216 = 435,216 : x
  2. Step 2: Convert to fraction form
    207,156/435,216 = 435,216/x
  3. Step 3: Cross multiply
    207,156x = 435,216 × 435,216
  4. Step 4: Simplify right side
    207,156x = 189,412,966,656
  5. Step 5: Solve for x
    x = 189,412,966,656/207,156
  6. Step 6: Final answer
    x = 914,349.41

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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.