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Finding the Third Proportional to 305,434 and 657,475

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Solution

The third proportional to 305,434 and 657,475 is: 1,415,275.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,434 : 657,475 = 657,475 : x
  2. Step 2: Convert to fraction form
    305,434/657,475 = 657,475/x
  3. Step 3: Cross multiply
    305,434x = 657,475 × 657,475
  4. Step 4: Simplify right side
    305,434x = 432,273,375,625
  5. Step 5: Solve for x
    x = 432,273,375,625/305,434
  6. Step 6: Final answer
    x = 1,415,275.89

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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.