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Finding the Third Proportional to 311,972.25 and 493,567.50

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Solution

The third proportional to 311,972.25 and 493,567.50 is: 780,867.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,972.25 : 493,567.50 = 493,567.50 : x
  2. Step 2: Convert to fraction form
    311,972.25/493,567.50 = 493,567.50/x
  3. Step 3: Cross multiply
    311,972.25x = 493,567.50 × 493,567.50
  4. Step 4: Simplify right side
    311,972.25x = 243,608,877,056.25
  5. Step 5: Solve for x
    x = 243,608,877,056.25/311,972.25
  6. Step 6: Final answer
    x = 780,867.13

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.