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Finding the Third Proportional to 487,467 and 753,329.25

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Solution

The third proportional to 487,467 and 753,329.25 is: 1,164,191.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,467 : 753,329.25 = 753,329.25 : x
  2. Step 2: Convert to fraction form
    487,467/753,329.25 = 753,329.25/x
  3. Step 3: Cross multiply
    487,467x = 753,329.25 × 753,329.25
  4. Step 4: Simplify right side
    487,467x = 567,504,958,905.56
  5. Step 5: Solve for x
    x = 567,504,958,905.56/487,467
  6. Step 6: Final answer
    x = 1,164,191.54

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.