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Finding the Third Proportional to 305,559 and 657,924

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Solution

The third proportional to 305,559 and 657,924 is: 1,416,629.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,559 : 657,924 = 657,924 : x
  2. Step 2: Convert to fraction form
    305,559/657,924 = 657,924/x
  3. Step 3: Cross multiply
    305,559x = 657,924 × 657,924
  4. Step 4: Simplify right side
    305,559x = 432,863,989,776
  5. Step 5: Solve for x
    x = 432,863,989,776/305,559
  6. Step 6: Final answer
    x = 1,416,629.82

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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.