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Finding the Third Proportional to 360,789.50 and 778,782.50

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Solution

The third proportional to 360,789.50 and 778,782.50 is: 1,681,041.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,789.50 : 778,782.50 = 778,782.50 : x
  2. Step 2: Convert to fraction form
    360,789.50/778,782.50 = 778,782.50/x
  3. Step 3: Cross multiply
    360,789.50x = 778,782.50 × 778,782.50
  4. Step 4: Simplify right side
    360,789.50x = 606,502,182,306.25
  5. Step 5: Solve for x
    x = 606,502,182,306.25/360,789.50
  6. Step 6: Final answer
    x = 1,681,041.67

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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.