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Finding the Third Proportional to 305,340 and 461,352

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Solution

The third proportional to 305,340 and 461,352 is: 697,077.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,340 : 461,352 = 461,352 : x
  2. Step 2: Convert to fraction form
    305,340/461,352 = 461,352/x
  3. Step 3: Cross multiply
    305,340x = 461,352 × 461,352
  4. Step 4: Simplify right side
    305,340x = 212,845,667,904
  5. Step 5: Solve for x
    x = 212,845,667,904/305,340
  6. Step 6: Final answer
    x = 697,077.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.