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Finding the Third Proportional to 157,829 and 212,645

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Solution

The third proportional to 157,829 and 212,645 is: 286,499.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,829 : 212,645 = 212,645 : x
  2. Step 2: Convert to fraction form
    157,829/212,645 = 212,645/x
  3. Step 3: Cross multiply
    157,829x = 212,645 × 212,645
  4. Step 4: Simplify right side
    157,829x = 45,217,896,025
  5. Step 5: Solve for x
    x = 45,217,896,025/157,829
  6. Step 6: Final answer
    x = 286,499.29

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.