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Finding the Third Proportional to 450,285.75 and 696,470.20

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Solution

The third proportional to 450,285.75 and 696,470.20 is: 1,077,250.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,285.75 : 696,470.20 = 696,470.20 : x
  2. Step 2: Convert to fraction form
    450,285.75/696,470.20 = 696,470.20/x
  3. Step 3: Cross multiply
    450,285.75x = 696,470.20 × 696,470.20
  4. Step 4: Simplify right side
    450,285.75x = 485,070,743,840.98
  5. Step 5: Solve for x
    x = 485,070,743,840.98/450,285.75
  6. Step 6: Final answer
    x = 1,077,250.93

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.