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Finding the Third Proportional to 360,559 and 769,386.50

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Solution

The third proportional to 360,559 and 769,386.50 is: 1,641,771.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,559 : 769,386.50 = 769,386.50 : x
  2. Step 2: Convert to fraction form
    360,559/769,386.50 = 769,386.50/x
  3. Step 3: Cross multiply
    360,559x = 769,386.50 × 769,386.50
  4. Step 4: Simplify right side
    360,559x = 591,955,586,382.25
  5. Step 5: Solve for x
    x = 591,955,586,382.25/360,559
  6. Step 6: Final answer
    x = 1,641,771.77

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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.