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Finding the Third Proportional to 406,810 and 841,908

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Solution

The third proportional to 406,810 and 841,908 is: 1,742,359.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,810 : 841,908 = 841,908 : x
  2. Step 2: Convert to fraction form
    406,810/841,908 = 841,908/x
  3. Step 3: Cross multiply
    406,810x = 841,908 × 841,908
  4. Step 4: Simplify right side
    406,810x = 708,809,080,464
  5. Step 5: Solve for x
    x = 708,809,080,464/406,810
  6. Step 6: Final answer
    x = 1,742,359.04

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.