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Finding the Third Proportional to 272,376.42 and 537,777.98

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Solution

The third proportional to 272,376.42 and 537,777.98 is: 1,061,784.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,376.42 : 537,777.98 = 537,777.98 : x
  2. Step 2: Convert to fraction form
    272,376.42/537,777.98 = 537,777.98/x
  3. Step 3: Cross multiply
    272,376.42x = 537,777.98 × 537,777.98
  4. Step 4: Simplify right side
    272,376.42x = 289,205,160,478.44
  5. Step 5: Solve for x
    x = 289,205,160,478.44/272,376.42
  6. Step 6: Final answer
    x = 1,061,784.86

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.