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Finding the Third Proportional to 305,561 and 657,930

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Solution

The third proportional to 305,561 and 657,930 is: 1,416,646.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,561 : 657,930 = 657,930 : x
  2. Step 2: Convert to fraction form
    305,561/657,930 = 657,930/x
  3. Step 3: Cross multiply
    305,561x = 657,930 × 657,930
  4. Step 4: Simplify right side
    305,561x = 432,871,884,900
  5. Step 5: Solve for x
    x = 432,871,884,900/305,561
  6. Step 6: Final answer
    x = 1,416,646.38

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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.