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Finding the Third Proportional to 237,478 and 511,820

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Solution

The third proportional to 237,478 and 511,820 is: 1,103,090.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,478 : 511,820 = 511,820 : x
  2. Step 2: Convert to fraction form
    237,478/511,820 = 511,820/x
  3. Step 3: Cross multiply
    237,478x = 511,820 × 511,820
  4. Step 4: Simplify right side
    237,478x = 261,959,712,400
  5. Step 5: Solve for x
    x = 261,959,712,400/237,478
  6. Step 6: Final answer
    x = 1,103,090.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.