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Finding the Third Proportional to 286,600 and 619,897

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Solution

The third proportional to 286,600 and 619,897 is: 1,340,796.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,600 : 619,897 = 619,897 : x
  2. Step 2: Convert to fraction form
    286,600/619,897 = 619,897/x
  3. Step 3: Cross multiply
    286,600x = 619,897 × 619,897
  4. Step 4: Simplify right side
    286,600x = 384,272,290,609
  5. Step 5: Solve for x
    x = 384,272,290,609/286,600
  6. Step 6: Final answer
    x = 1,340,796.55

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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.