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Finding the Third Proportional to 811,408 and 1,742,376

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Solution

The third proportional to 811,408 and 1,742,376 is: 3,741,489.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    811,408 : 1,742,376 = 1,742,376 : x
  2. Step 2: Convert to fraction form
    811,408/1,742,376 = 1,742,376/x
  3. Step 3: Cross multiply
    811,408x = 1,742,376 × 1,742,376
  4. Step 4: Simplify right side
    811,408x = 3,035,874,125,376
  5. Step 5: Solve for x
    x = 3,035,874,125,376/811,408
  6. Step 6: Final answer
    x = 3,741,489.02

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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.