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Finding the Third Proportional to 306,783 and 657,278

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Solution

The third proportional to 306,783 and 657,278 is: 1,408,208.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,783 : 657,278 = 657,278 : x
  2. Step 2: Convert to fraction form
    306,783/657,278 = 657,278/x
  3. Step 3: Cross multiply
    306,783x = 657,278 × 657,278
  4. Step 4: Simplify right side
    306,783x = 432,014,369,284
  5. Step 5: Solve for x
    x = 432,014,369,284/306,783
  6. Step 6: Final answer
    x = 1,408,208.31

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.