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Finding the Third Proportional to 355,576.50 and 540,276

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Solution

The third proportional to 355,576.50 and 540,276 is: 820,915.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,576.50 : 540,276 = 540,276 : x
  2. Step 2: Convert to fraction form
    355,576.50/540,276 = 540,276/x
  3. Step 3: Cross multiply
    355,576.50x = 540,276 × 540,276
  4. Step 4: Simplify right side
    355,576.50x = 291,898,156,176
  5. Step 5: Solve for x
    x = 291,898,156,176/355,576.50
  6. Step 6: Final answer
    x = 820,915.21

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.