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Finding the Third Proportional to 413,930 and 909,142

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Solution

The third proportional to 413,930 and 909,142 is: 1,996,809.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,930 : 909,142 = 909,142 : x
  2. Step 2: Convert to fraction form
    413,930/909,142 = 909,142/x
  3. Step 3: Cross multiply
    413,930x = 909,142 × 909,142
  4. Step 4: Simplify right side
    413,930x = 826,539,176,164
  5. Step 5: Solve for x
    x = 826,539,176,164/413,930
  6. Step 6: Final answer
    x = 1,996,809.06

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.