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Finding the Third Proportional to 390,632 and 836,560

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Solution

The third proportional to 390,632 and 836,560 is: 1,791,539.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,632 : 836,560 = 836,560 : x
  2. Step 2: Convert to fraction form
    390,632/836,560 = 836,560/x
  3. Step 3: Cross multiply
    390,632x = 836,560 × 836,560
  4. Step 4: Simplify right side
    390,632x = 699,832,633,600
  5. Step 5: Solve for x
    x = 699,832,633,600/390,632
  6. Step 6: Final answer
    x = 1,791,539.44

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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.