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Finding the Third Proportional to 358,911 and 788,580

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Solution

The third proportional to 358,911 and 788,580 is: 1,732,625.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,911 : 788,580 = 788,580 : x
  2. Step 2: Convert to fraction form
    358,911/788,580 = 788,580/x
  3. Step 3: Cross multiply
    358,911x = 788,580 × 788,580
  4. Step 4: Simplify right side
    358,911x = 621,858,416,400
  5. Step 5: Solve for x
    x = 621,858,416,400/358,911
  6. Step 6: Final answer
    x = 1,732,625.68

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.