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Finding the Third Proportional to 390,639 and 836,574

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Solution

The third proportional to 390,639 and 836,574 is: 1,791,567.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,639 : 836,574 = 836,574 : x
  2. Step 2: Convert to fraction form
    390,639/836,574 = 836,574/x
  3. Step 3: Cross multiply
    390,639x = 836,574 × 836,574
  4. Step 4: Simplify right side
    390,639x = 699,856,057,476
  5. Step 5: Solve for x
    x = 699,856,057,476/390,639
  6. Step 6: Final answer
    x = 1,791,567.30

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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.