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Finding the Third Proportional to 406,980.56 and 873,010.13

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Solution

The third proportional to 406,980.56 and 873,010.13 is: 1,872,685.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,980.56 : 873,010.13 = 873,010.13 : x
  2. Step 2: Convert to fraction form
    406,980.56/873,010.13 = 873,010.13/x
  3. Step 3: Cross multiply
    406,980.56x = 873,010.13 × 873,010.13
  4. Step 4: Simplify right side
    406,980.56x = 762,146,678,352.52
  5. Step 5: Solve for x
    x = 762,146,678,352.52/406,980.56
  6. Step 6: Final answer
    x = 1,872,685.70

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.