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Finding the Third Proportional to 180,688 and 383,392

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Solution

The third proportional to 180,688 and 383,392 is: 813,498.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,688 : 383,392 = 383,392 : x
  2. Step 2: Convert to fraction form
    180,688/383,392 = 383,392/x
  3. Step 3: Cross multiply
    180,688x = 383,392 × 383,392
  4. Step 4: Simplify right side
    180,688x = 146,989,425,664
  5. Step 5: Solve for x
    x = 146,989,425,664/180,688
  6. Step 6: Final answer
    x = 813,498.55

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.