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Finding the Third Proportional to 393,730 and 859,630

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Solution

The third proportional to 393,730 and 859,630 is: 1,876,828.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,730 : 859,630 = 859,630 : x
  2. Step 2: Convert to fraction form
    393,730/859,630 = 859,630/x
  3. Step 3: Cross multiply
    393,730x = 859,630 × 859,630
  4. Step 4: Simplify right side
    393,730x = 738,963,736,900
  5. Step 5: Solve for x
    x = 738,963,736,900/393,730
  6. Step 6: Final answer
    x = 1,876,828.63

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.