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Finding the Third Proportional to 515,851 and 1,213,775

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Solution

The third proportional to 515,851 and 1,213,775 is: 2,855,959.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,851 : 1,213,775 = 1,213,775 : x
  2. Step 2: Convert to fraction form
    515,851/1,213,775 = 1,213,775/x
  3. Step 3: Cross multiply
    515,851x = 1,213,775 × 1,213,775
  4. Step 4: Simplify right side
    515,851x = 1,473,249,750,625
  5. Step 5: Solve for x
    x = 1,473,249,750,625/515,851
  6. Step 6: Final answer
    x = 2,855,959.86

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.