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Finding the Third Proportional to 180,380 and 243,352

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Solution

The third proportional to 180,380 and 243,352 is: 328,307.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,380 : 243,352 = 243,352 : x
  2. Step 2: Convert to fraction form
    180,380/243,352 = 243,352/x
  3. Step 3: Cross multiply
    180,380x = 243,352 × 243,352
  4. Step 4: Simplify right side
    180,380x = 59,220,195,904
  5. Step 5: Solve for x
    x = 59,220,195,904/180,380
  6. Step 6: Final answer
    x = 328,307.99

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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.