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Finding the Third Proportional to 360,789.75 and 778,783.50

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Solution

The third proportional to 360,789.75 and 778,783.50 is: 1,681,044.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,789.75 : 778,783.50 = 778,783.50 : x
  2. Step 2: Convert to fraction form
    360,789.75/778,783.50 = 778,783.50/x
  3. Step 3: Cross multiply
    360,789.75x = 778,783.50 × 778,783.50
  4. Step 4: Simplify right side
    360,789.75x = 606,503,739,872.25
  5. Step 5: Solve for x
    x = 606,503,739,872.25/360,789.75
  6. Step 6: Final answer
    x = 1,681,044.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.