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Finding the Third Proportional to 486,346.50 and 776,949.50

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Solution

The third proportional to 486,346.50 and 776,949.50 is: 1,241,194.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,346.50 : 776,949.50 = 776,949.50 : x
  2. Step 2: Convert to fraction form
    486,346.50/776,949.50 = 776,949.50/x
  3. Step 3: Cross multiply
    486,346.50x = 776,949.50 × 776,949.50
  4. Step 4: Simplify right side
    486,346.50x = 603,650,525,550.25
  5. Step 5: Solve for x
    x = 603,650,525,550.25/486,346.50
  6. Step 6: Final answer
    x = 1,241,194.35

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.