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Finding the Third Proportional to 390,641 and 836,578

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Solution

The third proportional to 390,641 and 836,578 is: 1,791,575.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,641 : 836,578 = 836,578 : x
  2. Step 2: Convert to fraction form
    390,641/836,578 = 836,578/x
  3. Step 3: Cross multiply
    390,641x = 836,578 × 836,578
  4. Step 4: Simplify right side
    390,641x = 699,862,750,084
  5. Step 5: Solve for x
    x = 699,862,750,084/390,641
  6. Step 6: Final answer
    x = 1,791,575.26

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.