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Finding the Third Proportional to 301,377 and 409,308

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Solution

The third proportional to 301,377 and 409,308 is: 555,891.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,377 : 409,308 = 409,308 : x
  2. Step 2: Convert to fraction form
    301,377/409,308 = 409,308/x
  3. Step 3: Cross multiply
    301,377x = 409,308 × 409,308
  4. Step 4: Simplify right side
    301,377x = 167,533,038,864
  5. Step 5: Solve for x
    x = 167,533,038,864/301,377
  6. Step 6: Final answer
    x = 555,891.92

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.