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Finding the Third Proportional to 418,615.31 and 917,020.69

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Solution

The third proportional to 418,615.31 and 917,020.69 is: 2,008,829.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,615.31 : 917,020.69 = 917,020.69 : x
  2. Step 2: Convert to fraction form
    418,615.31/917,020.69 = 917,020.69/x
  3. Step 3: Cross multiply
    418,615.31x = 917,020.69 × 917,020.69
  4. Step 4: Simplify right side
    418,615.31x = 840,926,941,302.97
  5. Step 5: Solve for x
    x = 840,926,941,302.97/418,615.31
  6. Step 6: Final answer
    x = 2,008,829.86

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.