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Finding the Third Proportional to 306,787 and 657,290

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Solution

The third proportional to 306,787 and 657,290 is: 1,408,241.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,787 : 657,290 = 657,290 : x
  2. Step 2: Convert to fraction form
    306,787/657,290 = 657,290/x
  3. Step 3: Cross multiply
    306,787x = 657,290 × 657,290
  4. Step 4: Simplify right side
    306,787x = 432,030,144,100
  5. Step 5: Solve for x
    x = 432,030,144,100/306,787
  6. Step 6: Final answer
    x = 1,408,241.37

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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.