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Finding the Third Proportional to 509,976 and 750,120.75

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Solution

The third proportional to 509,976 and 750,120.75 is: 1,103,348.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,976 : 750,120.75 = 750,120.75 : x
  2. Step 2: Convert to fraction form
    509,976/750,120.75 = 750,120.75/x
  3. Step 3: Cross multiply
    509,976x = 750,120.75 × 750,120.75
  4. Step 4: Simplify right side
    509,976x = 562,681,139,580.56
  5. Step 5: Solve for x
    x = 562,681,139,580.56/509,976
  6. Step 6: Final answer
    x = 1,103,348.27

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.