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Finding the Third Proportional to 305,341 and 433,407

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Solution

The third proportional to 305,341 and 433,407 is: 615,186.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,341 : 433,407 = 433,407 : x
  2. Step 2: Convert to fraction form
    305,341/433,407 = 433,407/x
  3. Step 3: Cross multiply
    305,341x = 433,407 × 433,407
  4. Step 4: Simplify right side
    305,341x = 187,841,627,649
  5. Step 5: Solve for x
    x = 187,841,627,649/305,341
  6. Step 6: Final answer
    x = 615,186.39

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.