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Finding the Third Proportional to 545,296.50 and 1,160,577

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Solution

The third proportional to 545,296.50 and 1,160,577 is: 2,470,103.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,296.50 : 1,160,577 = 1,160,577 : x
  2. Step 2: Convert to fraction form
    545,296.50/1,160,577 = 1,160,577/x
  3. Step 3: Cross multiply
    545,296.50x = 1,160,577 × 1,160,577
  4. Step 4: Simplify right side
    545,296.50x = 1,346,938,972,929
  5. Step 5: Solve for x
    x = 1,346,938,972,929/545,296.50
  6. Step 6: Final answer
    x = 2,470,103.83

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.