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Finding the Third Proportional to 361,316 and 778,128

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Solution

The third proportional to 361,316 and 778,128 is: 1,675,771.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,316 : 778,128 = 778,128 : x
  2. Step 2: Convert to fraction form
    361,316/778,128 = 778,128/x
  3. Step 3: Cross multiply
    361,316x = 778,128 × 778,128
  4. Step 4: Simplify right side
    361,316x = 605,483,184,384
  5. Step 5: Solve for x
    x = 605,483,184,384/361,316
  6. Step 6: Final answer
    x = 1,675,771.86

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.