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Finding the Third Proportional to 285,918 and 611,102

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Solution

The third proportional to 285,918 and 611,102 is: 1,306,128.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,918 : 611,102 = 611,102 : x
  2. Step 2: Convert to fraction form
    285,918/611,102 = 611,102/x
  3. Step 3: Cross multiply
    285,918x = 611,102 × 611,102
  4. Step 4: Simplify right side
    285,918x = 373,445,654,404
  5. Step 5: Solve for x
    x = 373,445,654,404/285,918
  6. Step 6: Final answer
    x = 1,306,128.52

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.