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Finding the Third Proportional to 367,238 and 778,580

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Solution

The third proportional to 367,238 and 778,580 is: 1,650,664.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,238 : 778,580 = 778,580 : x
  2. Step 2: Convert to fraction form
    367,238/778,580 = 778,580/x
  3. Step 3: Cross multiply
    367,238x = 778,580 × 778,580
  4. Step 4: Simplify right side
    367,238x = 606,186,816,400
  5. Step 5: Solve for x
    x = 606,186,816,400/367,238
  6. Step 6: Final answer
    x = 1,650,664.74

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.