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Finding the Third Proportional to 545,721 and 1,147,998

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Solution

The third proportional to 545,721 and 1,147,998 is: 2,414,969.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,721 : 1,147,998 = 1,147,998 : x
  2. Step 2: Convert to fraction form
    545,721/1,147,998 = 1,147,998/x
  3. Step 3: Cross multiply
    545,721x = 1,147,998 × 1,147,998
  4. Step 4: Simplify right side
    545,721x = 1,317,899,408,004
  5. Step 5: Solve for x
    x = 1,317,899,408,004/545,721
  6. Step 6: Final answer
    x = 2,414,969.20

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.