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Finding the Third Proportional to 71,490 and 156,318

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Solution

The third proportional to 71,490 and 156,318 is: 341,800.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,490 : 156,318 = 156,318 : x
  2. Step 2: Convert to fraction form
    71,490/156,318 = 156,318/x
  3. Step 3: Cross multiply
    71,490x = 156,318 × 156,318
  4. Step 4: Simplify right side
    71,490x = 24,435,317,124
  5. Step 5: Solve for x
    x = 24,435,317,124/71,490
  6. Step 6: Final answer
    x = 341,800.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.