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Finding the Third Proportional to 360,896 and 512,928

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Solution

The third proportional to 360,896 and 512,928 is: 729,005.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,896 : 512,928 = 512,928 : x
  2. Step 2: Convert to fraction form
    360,896/512,928 = 512,928/x
  3. Step 3: Cross multiply
    360,896x = 512,928 × 512,928
  4. Step 4: Simplify right side
    360,896x = 263,095,133,184
  5. Step 5: Solve for x
    x = 263,095,133,184/360,896
  6. Step 6: Final answer
    x = 729,005.40

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.