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Finding the Third Proportional to 393,630 and 626,646

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Solution

The third proportional to 393,630 and 626,646 is: 997,599.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,630 : 626,646 = 626,646 : x
  2. Step 2: Convert to fraction form
    393,630/626,646 = 626,646/x
  3. Step 3: Cross multiply
    393,630x = 626,646 × 626,646
  4. Step 4: Simplify right side
    393,630x = 392,685,209,316
  5. Step 5: Solve for x
    x = 392,685,209,316/393,630
  6. Step 6: Final answer
    x = 997,599.80

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.