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Finding the Third Proportional to 287,221.50 and 613,539

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Solution

The third proportional to 287,221.50 and 613,539 is: 1,310,591.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,221.50 : 613,539 = 613,539 : x
  2. Step 2: Convert to fraction form
    287,221.50/613,539 = 613,539/x
  3. Step 3: Cross multiply
    287,221.50x = 613,539 × 613,539
  4. Step 4: Simplify right side
    287,221.50x = 376,430,104,521
  5. Step 5: Solve for x
    x = 376,430,104,521/287,221.50
  6. Step 6: Final answer
    x = 1,310,591.67

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.