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Finding the Third Proportional to 407,890.13 and 874,829.25

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Solution

The third proportional to 407,890.13 and 874,829.25 is: 1,876,304.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,890.13 : 874,829.25 = 874,829.25 : x
  2. Step 2: Convert to fraction form
    407,890.13/874,829.25 = 874,829.25/x
  3. Step 3: Cross multiply
    407,890.13x = 874,829.25 × 874,829.25
  4. Step 4: Simplify right side
    407,890.13x = 765,326,216,655.56
  5. Step 5: Solve for x
    x = 765,326,216,655.56/407,890.13
  6. Step 6: Final answer
    x = 1,876,304.84

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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.