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Finding the Third Proportional to 545,609 and 1,185,664

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Solution

The third proportional to 545,609 and 1,185,664 is: 2,576,568.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,609 : 1,185,664 = 1,185,664 : x
  2. Step 2: Convert to fraction form
    545,609/1,185,664 = 1,185,664/x
  3. Step 3: Cross multiply
    545,609x = 1,185,664 × 1,185,664
  4. Step 4: Simplify right side
    545,609x = 1,405,799,120,896
  5. Step 5: Solve for x
    x = 1,405,799,120,896/545,609
  6. Step 6: Final answer
    x = 2,576,568.79

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.