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Finding the Third Proportional to 320,190 and 747,987

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Solution

The third proportional to 320,190 and 747,987 is: 1,747,351.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,190 : 747,987 = 747,987 : x
  2. Step 2: Convert to fraction form
    320,190/747,987 = 747,987/x
  3. Step 3: Cross multiply
    320,190x = 747,987 × 747,987
  4. Step 4: Simplify right side
    320,190x = 559,484,552,169
  5. Step 5: Solve for x
    x = 559,484,552,169/320,190
  6. Step 6: Final answer
    x = 1,747,351.74

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.