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Finding the Third Proportional to 360,898 and 512,931

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Solution

The third proportional to 360,898 and 512,931 is: 729,009.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,898 : 512,931 = 512,931 : x
  2. Step 2: Convert to fraction form
    360,898/512,931 = 512,931/x
  3. Step 3: Cross multiply
    360,898x = 512,931 × 512,931
  4. Step 4: Simplify right side
    360,898x = 263,098,210,761
  5. Step 5: Solve for x
    x = 263,098,210,761/360,898
  6. Step 6: Final answer
    x = 729,009.89

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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.