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Finding the Third Proportional to 340,931 and 511,397

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Solution

The third proportional to 340,931 and 511,397 is: 767,096.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,931 : 511,397 = 511,397 : x
  2. Step 2: Convert to fraction form
    340,931/511,397 = 511,397/x
  3. Step 3: Cross multiply
    340,931x = 511,397 × 511,397
  4. Step 4: Simplify right side
    340,931x = 261,526,891,609
  5. Step 5: Solve for x
    x = 261,526,891,609/340,931
  6. Step 6: Final answer
    x = 767,096.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.