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Finding the Third Proportional to 406,808 and 841,904

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Solution

The third proportional to 406,808 and 841,904 is: 1,742,351.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,808 : 841,904 = 841,904 : x
  2. Step 2: Convert to fraction form
    406,808/841,904 = 841,904/x
  3. Step 3: Cross multiply
    406,808x = 841,904 × 841,904
  4. Step 4: Simplify right side
    406,808x = 708,802,345,216
  5. Step 5: Solve for x
    x = 708,802,345,216/406,808
  6. Step 6: Final answer
    x = 1,742,351.05

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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.