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Finding the Third Proportional to 621,030 and 1,264,897

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Solution

The third proportional to 621,030 and 1,264,897 is: 2,576,307.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    621,030 : 1,264,897 = 1,264,897 : x
  2. Step 2: Convert to fraction form
    621,030/1,264,897 = 1,264,897/x
  3. Step 3: Cross multiply
    621,030x = 1,264,897 × 1,264,897
  4. Step 4: Simplify right side
    621,030x = 1,599,964,420,609
  5. Step 5: Solve for x
    x = 1,599,964,420,609/621,030
  6. Step 6: Final answer
    x = 2,576,307.78

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.