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Finding the Third Proportional to 277,931.25 and 377,528.34

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Solution

The third proportional to 277,931.25 and 377,528.34 is: 512,816.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,931.25 : 377,528.34 = 377,528.34 : x
  2. Step 2: Convert to fraction form
    277,931.25/377,528.34 = 377,528.34/x
  3. Step 3: Cross multiply
    277,931.25x = 377,528.34 × 377,528.34
  4. Step 4: Simplify right side
    277,931.25x = 142,527,650,334.62
  5. Step 5: Solve for x
    x = 142,527,650,334.62/277,931.25
  6. Step 6: Final answer
    x = 512,816.21

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.