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Finding the Third Proportional to 389,630 and 835,352

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Solution

The third proportional to 389,630 and 835,352 is: 1,790,963.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,630 : 835,352 = 835,352 : x
  2. Step 2: Convert to fraction form
    389,630/835,352 = 835,352/x
  3. Step 3: Cross multiply
    389,630x = 835,352 × 835,352
  4. Step 4: Simplify right side
    389,630x = 697,812,963,904
  5. Step 5: Solve for x
    x = 697,812,963,904/389,630
  6. Step 6: Final answer
    x = 1,790,963.13

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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.