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Finding the Third Proportional to 287,907.75 and 619,552.13

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Solution

The third proportional to 287,907.75 and 619,552.13 is: 1,333,221.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,907.75 : 619,552.13 = 619,552.13 : x
  2. Step 2: Convert to fraction form
    287,907.75/619,552.13 = 619,552.13/x
  3. Step 3: Cross multiply
    287,907.75x = 619,552.13 × 619,552.13
  4. Step 4: Simplify right side
    287,907.75x = 383,844,835,592.02
  5. Step 5: Solve for x
    x = 383,844,835,592.02/287,907.75
  6. Step 6: Final answer
    x = 1,333,221.62

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.