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Finding the Third Proportional to 308,740.50 and 484,953.75

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Solution

The third proportional to 308,740.50 and 484,953.75 is: 761,740.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,740.50 : 484,953.75 = 484,953.75 : x
  2. Step 2: Convert to fraction form
    308,740.50/484,953.75 = 484,953.75/x
  3. Step 3: Cross multiply
    308,740.50x = 484,953.75 × 484,953.75
  4. Step 4: Simplify right side
    308,740.50x = 235,180,139,639.06
  5. Step 5: Solve for x
    x = 235,180,139,639.06/308,740.50
  6. Step 6: Final answer
    x = 761,740.49

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.