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Finding the Third Proportional to 307,941.75 and 489,037.50

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Solution

The third proportional to 307,941.75 and 489,037.50 is: 776,632.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,941.75 : 489,037.50 = 489,037.50 : x
  2. Step 2: Convert to fraction form
    307,941.75/489,037.50 = 489,037.50/x
  3. Step 3: Cross multiply
    307,941.75x = 489,037.50 × 489,037.50
  4. Step 4: Simplify right side
    307,941.75x = 239,157,676,406.25
  5. Step 5: Solve for x
    x = 239,157,676,406.25/307,941.75
  6. Step 6: Final answer
    x = 776,632.84

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.