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Finding the Third Proportional to 486,364.50 and 776,979

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Solution

The third proportional to 486,364.50 and 776,979 is: 1,241,242.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,364.50 : 776,979 = 776,979 : x
  2. Step 2: Convert to fraction form
    486,364.50/776,979 = 776,979/x
  3. Step 3: Cross multiply
    486,364.50x = 776,979 × 776,979
  4. Step 4: Simplify right side
    486,364.50x = 603,696,366,441
  5. Step 5: Solve for x
    x = 603,696,366,441/486,364.50
  6. Step 6: Final answer
    x = 1,241,242.66

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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.