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Finding the Third Proportional to 361,654 and 787,580

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Solution

The third proportional to 361,654 and 787,580 is: 1,715,126.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,654 : 787,580 = 787,580 : x
  2. Step 2: Convert to fraction form
    361,654/787,580 = 787,580/x
  3. Step 3: Cross multiply
    361,654x = 787,580 × 787,580
  4. Step 4: Simplify right side
    361,654x = 620,282,256,400
  5. Step 5: Solve for x
    x = 620,282,256,400/361,654
  6. Step 6: Final answer
    x = 1,715,126.22

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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.