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Finding the Third Proportional to 180,368 and 280,376

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Solution

The third proportional to 180,368 and 280,376 is: 435,835.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,368 : 280,376 = 280,376 : x
  2. Step 2: Convert to fraction form
    180,368/280,376 = 280,376/x
  3. Step 3: Cross multiply
    180,368x = 280,376 × 280,376
  4. Step 4: Simplify right side
    180,368x = 78,610,701,376
  5. Step 5: Solve for x
    x = 78,610,701,376/180,368
  6. Step 6: Final answer
    x = 435,835.08

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.