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Finding the Third Proportional to 365,536 and 545,272

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Solution

The third proportional to 365,536 and 545,272 is: 813,385.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,536 : 545,272 = 545,272 : x
  2. Step 2: Convert to fraction form
    365,536/545,272 = 545,272/x
  3. Step 3: Cross multiply
    365,536x = 545,272 × 545,272
  4. Step 4: Simplify right side
    365,536x = 297,321,553,984
  5. Step 5: Solve for x
    x = 297,321,553,984/365,536
  6. Step 6: Final answer
    x = 813,385.15

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.