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Finding the Third Proportional to 401,955 and 836,987

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Solution

The third proportional to 401,955 and 836,987 is: 1,742,849.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,955 : 836,987 = 836,987 : x
  2. Step 2: Convert to fraction form
    401,955/836,987 = 836,987/x
  3. Step 3: Cross multiply
    401,955x = 836,987 × 836,987
  4. Step 4: Simplify right side
    401,955x = 700,547,238,169
  5. Step 5: Solve for x
    x = 700,547,238,169/401,955
  6. Step 6: Final answer
    x = 1,742,849.92

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.